55792800 has 432 divisors, whose sum is σ = 238859712. Its totient is φ = 12441600.

The previous prime is 55792771. The next prime is 55792811. The reversal of 55792800 is 829755.

55792800 is a `hidden beast` number, since 5 + 579 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×55792800² = 6225673063680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360780 + ... + 1360820.

It is an arithmetic number, because the mean of its divisors is an integer number (552916).

Almost surely, 2^55792800 is an apocalyptic number.

55792800 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 55792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119429856).

55792800 is an abundant number, since it is smaller than the sum of its proper divisors (183066912).

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

55792800 is a wasteful number, since it uses less digits than its factorization.

55792800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 55792800 is about 7469.4578116487. The cubic root of 55792800 is about 382.1137970407.

The spelling of 55792800 in words is "fifty-five million, seven hundred ninety-two thousand, eight hundred".