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740880000 = 27335473
BaseRepresentation
bin101100001010001…
…110111010000000
31220122002121022000
4230022032322000
53004131130000
6201303344000
724234243000
oct5412167200
91818077260
10740880000
11350231123
12188152000
13ba653643
147057a000
154509a000
hex2c28ee80

740880000 has 640 divisors, whose sum is σ = 3186480000. Its totient is φ = 169344000.

The previous prime is 740879987. The next prime is 740880011. The reversal of 740880000 is 88047.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105839997 + ... + 105840003.

It is an arithmetic number, because the mean of its divisors is an integer number (4978875).

Almost surely, 2740880000 is an apocalyptic number.

740880000 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 740880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593240000).

740880000 is an abundant number, since it is smaller than the sum of its proper divisors (2445600000).

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

740880000 is an frugal number, since it uses more digits than its factorization.

740880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 740880000 is about 27219.1109333130. The cubic root of 740880000 is about 904.8625698134.

The spelling of 740880000 in words is "seven hundred forty million, eight hundred eighty thousand".