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720625920 = 28357171983
BaseRepresentation
bin101010111100111…
…110000100000000
31212012222120220220
4222330332010000
52433440012140
6155301303040
723600135130
oct5274760400
91765876826
10720625920
1133a857a13
12181404a80
13b63b1691
146b9c6ac0
15433e8bd0
hex2af3e100

720625920 has 576 divisors, whose sum is σ = 2966906880. Its totient is φ = 145096704.

The previous prime is 720625889. The next prime is 720625921. The reversal of 720625920 is 29526027.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (720625921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8682199 + ... + 8682281.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880).

Almost surely, 2720625920 is an apocalyptic number.

720625920 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 720625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483453440).

720625920 is an abundant number, since it is smaller than the sum of its proper divisors (2246280960).

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

720625920 is a wasteful number, since it uses less digits than its factorization.

720625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 720625920 is about 26844.4765268388. The cubic root of 720625920 is about 896.5405963878.

It can be divided in two parts, 720 and 625920, that added together give a triangular number (626640 = T1119).

The spelling of 720625920 in words is "seven hundred twenty million, six hundred twenty-five thousand, nine hundred twenty".