55787800 has 96 divisors (see below), whose sum is σ = 139611600. Its totient is φ = 20666880.

The previous prime is 55787777. The next prime is 55787803. The reversal of 55787800 is 878755.

It is a super-2 number, since 2×55787800² = 6224557257680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55787803) 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, 201262 + ... + 201538.

Almost surely, 2^55787800 is an apocalyptic number.

55787800 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 55787800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69805800).

55787800 is an abundant number, since it is smaller than the sum of its proper divisors (83823800).

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

55787800 is a wasteful number, since it uses less digits than its factorization.

55787800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 40.

The square root of 55787800 is about 7469.1231078354. The cubic root of 55787800 is about 382.1023820310.

The spelling of 55787800 in words is "fifty-five million, seven hundred eighty-seven thousand, eight hundred".