78585900 has 144 divisors (see below), whose sum is σ = 253733760. Its totient is φ = 18662400.

The previous prime is 78585863. The next prime is 78585931. The reversal of 78585900 is 958587.

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 47 ways as a sum of consecutive naturals, for example, 96495 + ... + 97305.

It is an arithmetic number, because the mean of its divisors is an integer number (1762040).

Almost surely, 2^78585900 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 78585900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126866880).

78585900 is an abundant number, since it is smaller than the sum of its proper divisors (175147860).

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

78585900 is a wasteful number, since it uses less digits than its factorization.

78585900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The square root of 78585900 is about 8864.8688653584. The cubic root of 78585900 is about 428.3330086583. Note that the first 3 decimals are identical.

The spelling of 78585900 in words is "seventy-eight million, five hundred eighty-five thousand, nine hundred".