770966976 has 112 divisors (see below), whose sum is σ = 2204720000. Its totient is φ = 236362752.

The previous prime is 770966957. The next prime is 770966981. The reversal of 770966976 is 679669077.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1245195 + ... + 1245813.

It is an arithmetic number, because the mean of its divisors is an integer number (19685000).

Almost surely, 2^770966976 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 770966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102360000).

770966976 is an abundant number, since it is smaller than the sum of its proper divisors (1433753024).

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

770966976 is a wasteful number, since it uses less digits than its factorization.

770966976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 57.

The square root of 770966976 is about 27766.2920823073. The cubic root of 770966976 is about 916.9491632826.

The spelling of 770966976 in words is "seven hundred seventy million, nine hundred sixty-six thousand, nine hundred seventy-six".