77868900 has 108 divisors (see below), whose sum is σ = 252039424. Its totient is φ = 20088000.

The previous prime is 77868887. The next prime is 77868911. The reversal of 77868900 is 986877.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 26505 + ... + 29295.

Almost surely, 2^77868900 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 77868900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126019712).

77868900 is an abundant number, since it is smaller than the sum of its proper divisors (174170524).

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

77868900 is a wasteful number, since it uses less digits than its factorization.

77868900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 77868900 is about 8824.3356690461. The cubic root of 77868900 is about 427.0263554896.

The spelling of 77868900 in words is "seventy-seven million, eight hundred sixty-eight thousand, nine hundred".