56779800 has 192 divisors, whose sum is σ = 219628800. Its totient is φ = 11788800.

The previous prime is 56779783. The next prime is 56779819. The reversal of 56779800 is 897765.

It is a super-3 number, since 3×56779800³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45586 + ... + 46814.

It is an arithmetic number, because the mean of its divisors is an integer number (1143900).

Almost surely, 2^56779800 is an apocalyptic number.

56779800 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 56779800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109814400).

56779800 is an abundant number, since it is smaller than the sum of its proper divisors (162849000).

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

56779800 is a wasteful number, since it uses less digits than its factorization.

56779800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1257 counting only the distinct ones).

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

The square root of 56779800 is about 7535.2372225432. The cubic root of 56779800 is about 384.3538946704.

The spelling of 56779800 in words is "fifty-six million, seven hundred seventy-nine thousand, eight hundred".