776640412800 has 576 divisors, whose sum is σ = 3333828139200. Its totient is φ = 168173936640.

The previous prime is 776640412727. The next prime is 776640412843. The reversal of 776640412800 is 8214046677.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3729022 + ... + 3931778.

It is an arithmetic number, because the mean of its divisors is an integer number (5787896075).

Almost surely, 2^776640412800 is an apocalyptic number.

776640412800 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 776640412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666914069600).

776640412800 is an abundant number, since it is smaller than the sum of its proper divisors (2557187726400).

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

776640412800 is a wasteful number, since it uses less digits than its factorization.

776640412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202813 (or 202793 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 776640412800 in words is "seven hundred seventy-six billion, six hundred forty million, four hundred twelve thousand, eight hundred".