78600900 has 108 divisors (see below), whose sum is σ = 264597648. Its totient is φ = 17962560.

The previous prime is 78600889. The next prime is 78600923. The reversal of 78600900 is 900687.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12027 + ... + 17373.

Almost surely, 2^78600900 is an apocalyptic number.

78600900 is a gapful number since it is divisible by the number (70) 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 78600900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132298824).

78600900 is an abundant number, since it is smaller than the sum of its proper divisors (185996748).

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

78600900 is a wasteful number, since it uses less digits than its factorization.

78600900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 78600900 is about 8865.7148611942. The cubic root of 78600900 is about 428.3602594602.

The spelling of 78600900 in words is "seventy-eight million, six hundred thousand, nine hundred".