760799520 has 768 divisors, whose sum is σ = 3251404800. Its totient is φ = 164229120.

The previous prime is 760799491. The next prime is 760799563. The reversal of 760799520 is 25997067.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24541905 + ... + 24541935.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^760799520 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 760799520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625702400).

760799520 is an abundant number, since it is smaller than the sum of its proper divisors (2490605280).

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

760799520 is a wasteful number, since it uses less digits than its factorization.

760799520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 760799520 is about 27582.5945117569. The cubic root of 760799520 is about 912.9004264970.

The spelling of 760799520 in words is "seven hundred sixty million, seven hundred ninety-nine thousand, five hundred twenty".