56776400 has 30 divisors (see below), whose sum is σ = 136406262. Its totient is φ = 22710400.

The previous prime is 56776373. The next prime is 56776411. The reversal of 56776400 is 467765.

It can be written as a sum of positive squares in 3 ways, for example, as 10916416 + 45859984 = 3304^2 + 6772^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70571 + ... + 71370.

Almost surely, 2^56776400 is an apocalyptic number.

56776400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56776400 is an abundant number, since it is smaller than the sum of its proper divisors (79629862).

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

56776400 is a wasteful number, since it uses less digits than its factorization.

56776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141959 (or 141948 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 56776400 is about 7535.0116124662. The cubic root of 56776400 is about 384.3462227558.

It can be divided in two parts, 567 and 76400, that added together give a palindrome (76967).

The spelling of 56776400 in words is "fifty-six million, seven hundred seventy-six thousand, four hundred".