776780928 has 480 divisors, whose sum is σ = 2954674800. Its totient is φ = 200309760.

The previous prime is 776780911. The next prime is 776780941. The reversal of 776780928 is 829087677.

It is a super-2 number, since 2×776780928² = 1206777220209082368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 5588283 + ... + 5588421.

Almost surely, 2^776780928 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 776780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477337400).

776780928 is an abundant number, since it is smaller than the sum of its proper divisors (2177893872).

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

776780928 is a wasteful number, since it uses less digits than its factorization.

776780928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 776780928 is about 27870.7898704002. The cubic root of 776780928 is about 919.2483337345.

The spelling of 776780928 in words is "seven hundred seventy-six million, seven hundred eighty thousand, nine hundred twenty-eight".