55778400 has 216 divisors, whose sum is σ = 201487104. Its totient is φ = 14515200.

The previous prime is 55778363. The next prime is 55778413. The reversal of 55778400 is 487755.

55778400 is a `hidden beast` number, since 5 + 577 + 84 + 0 + 0 = 666.

It is a super-2 number, since 2×55778400² = 6222459813120000, which contains 22 as substring.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 439137 + ... + 439263.

Almost surely, 2^55778400 is an apocalyptic number.

55778400 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 55778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100743552).

55778400 is an abundant number, since it is smaller than the sum of its proper divisors (145708704).

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

55778400 is a wasteful number, since it uses less digits than its factorization.

55778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 55778400 is about 7468.4938240585. The cubic root of 55778400 is about 382.0809199661.

The spelling of 55778400 in words is "fifty-five million, seven hundred seventy-eight thousand, four hundred".