55778000 has 60 divisors (see below), whose sum is σ = 135683652. Its totient is φ = 22177600.

The previous prime is 55777993. The next prime is 55778027. The reversal of 55778000 is 87755.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1784896 + 53993104 = 1336^2 + 7348^2 .

It is a super-2 number, since 2×55778000² = 6222370568000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333917 + ... + 334083.

Almost surely, 2^55778000 is an apocalyptic number.

55778000 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 55778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67841826).

55778000 is an abundant number, since it is smaller than the sum of its proper divisors (79905652).

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

55778000 is an equidigital number, since it uses as much as digits as its factorization.

55778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 55778000 is about 7468.4670448493. The cubic root of 55778000 is about 382.0800066333.

The spelling of 55778000 in words is "fifty-five million, seven hundred seventy-eight thousand".