776966400 has 648 divisors, whose sum is σ = 3321287424. Its totient is φ = 169574400.

The previous prime is 776966383. The next prime is 776966401. The reversal of 776966400 is 4669677.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (776966401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16531177 + ... + 16531223.

Almost surely, 2^776966400 is an apocalyptic number.

776966400 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 776966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660643712).

776966400 is an abundant number, since it is smaller than the sum of its proper divisors (2544321024).

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

776966400 is a wasteful number, since it uses less digits than its factorization.

776966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 776966400 is about 27874.1170263741. The cubic root of 776966400 is about 919.3214908942.

The spelling of 776966400 in words is "seven hundred seventy-six million, nine hundred sixty-six thousand, four hundred".