78900 has 36 divisors (see below), whose sum is σ = 229152. Its totient is φ = 20960.

The previous prime is 78893. The next prime is 78901. The reversal of 78900 is 987.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78901) by changing a digit.

78900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169 + ... + 431.

2⁷⁸⁹⁰⁰ 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 78900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114576).

78900 is an abundant number, since it is smaller than the sum of its proper divisors (150252).

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

78900 is a wasteful number, since it uses less digits than its factorization.

78900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 78900 is about 280.8914381038. The cubic root of 78900 is about 42.8902918138.

The spelling of 78900 in words is "seventy-eight thousand, nine hundred".