776032040 has 128 divisors (see below), whose sum is σ = 2060467200. Its totient is φ = 257541120.

The previous prime is 776032039. The next prime is 776032069. The reversal of 776032040 is 40230677.

It is a junction number, because it is equal to n+sod(n) for n = 776031994 and 776032012.

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 31 ways as a sum of consecutive naturals, for example, 1434170 + ... + 1434710.

It is an arithmetic number, because the mean of its divisors is an integer number (16097400).

Almost surely, 2^776032040 is an apocalyptic number.

776032040 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 776032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030233600).

776032040 is an abundant number, since it is smaller than the sum of its proper divisors (1284435160).

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

776032040 is a wasteful number, since it uses less digits than its factorization.

776032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 776032040 is about 27857.3516329173. The cubic root of 776032040 is about 918.9528255368.

The spelling of 776032040 in words is "seven hundred seventy-six million, thirty-two thousand, forty".