776220800 has 96 divisors (see below), whose sum is σ = 1936282320. Its totient is φ = 307450880.

The previous prime is 776220769. The next prime is 776220803. The reversal of 776220800 is 8022677.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (776220803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341267 + ... + 343533.

Almost surely, 2^776220800 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 776220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968141160).

776220800 is an abundant number, since it is smaller than the sum of its proper divisors (1160061520).

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

776220800 is a wasteful number, since it uses less digits than its factorization.

776220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 776220800 is about 27860.7394015306. The cubic root of 776220800 is about 919.0273273891.

The spelling of 776220800 in words is "seven hundred seventy-six million, two hundred twenty thousand, eight hundred".