760890528 has 144 divisors (see below), whose sum is σ = 2219083776. Its totient is φ = 247242240.

The previous prime is 760890527. The next prime is 760890551. The reversal of 760890528 is 825098067.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (760890521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2596750 + ... + 2597042.

It is an arithmetic number, because the mean of its divisors is an integer number (15410304).

Almost surely, 2^760890528 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 760890528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109541888).

760890528 is an abundant number, since it is smaller than the sum of its proper divisors (1458193248).

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

760890528 is a wasteful number, since it uses less digits than its factorization.

760890528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 760890528 is about 27584.2441984550. The cubic root of 760890528 is about 912.9368258932.

The spelling of 760890528 in words is "seven hundred sixty million, eight hundred ninety thousand, five hundred twenty-eight".