776294064 has 480 divisors, whose sum is σ = 2904576000. Its totient is φ = 198132480.

The previous prime is 776294047. The next prime is 776294083. The reversal of 776294064 is 460492677.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25041729 + ... + 25041759.

It is an arithmetic number, because the mean of its divisors is an integer number (6051200).

Almost surely, 2^776294064 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 776294064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452288000).

776294064 is an abundant number, since it is smaller than the sum of its proper divisors (2128281936).

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

776294064 is a wasteful number, since it uses less digits than its factorization.

776294064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 776294064 is about 27862.0541956260. The cubic root of 776294064 is about 919.0562407686.

The spelling of 776294064 in words is "seven hundred seventy-six million, two hundred ninety-four thousand, sixty-four".