56778900 has 72 divisors (see below), whose sum is σ = 167426784. Its totient is φ = 14851200.

The previous prime is 56778899. The next prime is 56778901. The reversal of 56778900 is 987765.

It is an interprime number because it is at equal distance from previous prime (56778899) and next prime (56778901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56778901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14115 + ... + 17685.

It is an arithmetic number, because the mean of its divisors is an integer number (2325372).

Almost surely, 2^56778900 is an apocalyptic number.

56778900 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 56778900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83713392).

56778900 is an abundant number, since it is smaller than the sum of its proper divisors (110647884).

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

56778900 is a wasteful number, since it uses less digits than its factorization.

56778900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 56778900 is about 7535.1775028860. The cubic root of 56778900 is about 384.3518638993.

The spelling of 56778900 in words is "fifty-six million, seven hundred seventy-eight thousand, nine hundred".