56776000 has 112 divisors (see below), whose sum is σ = 144548352. Its totient is φ = 22080000.

The previous prime is 56775989. The next prime is 56776043. The reversal of 56776000 is 67765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375925 + ... + 376075.

Almost surely, 2^56776000 is an apocalyptic number.

56776000 is a gapful number since it is divisible by the number (50) 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 56776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72274176).

56776000 is an abundant number, since it is smaller than the sum of its proper divisors (87772352).

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

56776000 is a wasteful number, since it uses less digits than its factorization.

56776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 56776000 is about 7534.9850696601. The cubic root of 56776000 is about 384.3453201575.

It can be divided in two parts, 567 and 76000, that added together give a palindrome (76567).

The spelling of 56776000 in words is "fifty-six million, seven hundred seventy-six thousand".