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720720000 = 27325471113
BaseRepresentation
bin101010111101010…
…101000010000000
31212020011100222100
4222331111002000
52434001020000
6155303310400
723601006330
oct5275250200
91766140870
10720720000
1133a911670
1218144b400
13b6415450
146ba0d0c0
1543416a00
hex2af55080

720720000 has 960 divisors, whose sum is σ = 3479636160. Its totient is φ = 138240000.

The previous prime is 720719971. The next prime is 720720001. The reversal of 720720000 is 27027.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (720720001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55439994 + ... + 55440006.

It is an arithmetic number, because the mean of its divisors is an integer number (3624621).

Almost surely, 2720720000 is an apocalyptic number.

720720000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739818080).

720720000 is an abundant number, since it is smaller than the sum of its proper divisors (2758916160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

720720000 is a wasteful number, since it uses less digits than its factorization.

720720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 720720000 is about 26846.2287854365. The cubic root of 720720000 is about 896.5796100964.

Adding to 720720000 its reverse (27027), we get a palindrome (720747027).

The spelling of 720720000 in words is "seven hundred twenty million, seven hundred twenty thousand".