760742928 has 400 divisors, whose sum is σ = 2638063296. Its totient is φ = 209018880.

The previous prime is 760742921. The next prime is 760742947. The reversal of 760742928 is 829247067.

It is not an unprimeable number, because it can be changed into a prime (760742921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10421100 + ... + 10421172.

Almost surely, 2^760742928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 760742928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319031648).

760742928 is an abundant number, since it is smaller than the sum of its proper divisors (1877320368).

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

760742928 is a wasteful number, since it uses less digits than its factorization.

760742928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 760742928 is about 27581.5686283431. The cubic root of 760742928 is about 912.8777905986.

The spelling of 760742928 in words is "seven hundred sixty million, seven hundred forty-two thousand, nine hundred twenty-eight".