78555800 has 96 divisors (see below), whose sum is σ = 190969920. Its totient is φ = 30028800.

The previous prime is 78555791. The next prime is 78555803. The reversal of 78555800 is 855587.

It is a super-3 number, since 3×78555800³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78555803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573332 + ... + 573468.

It is an arithmetic number, because the mean of its divisors is an integer number (1989270).

Almost surely, 2^78555800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78555800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95484960).

78555800 is an abundant number, since it is smaller than the sum of its proper divisors (112414120).

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

78555800 is a wasteful number, since it uses less digits than its factorization.

78555800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 38.

The square root of 78555800 is about 8863.1709901141. The cubic root of 78555800 is about 428.2783149199.

The spelling of 78555800 in words is "seventy-eight million, five hundred fifty-five thousand, eight hundred".