78804900 has 252 divisors, whose sum is σ = 273232512. Its totient is φ = 19673280.

The previous prime is 78804899. The next prime is 78804953. The reversal of 78804900 is 940887.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1676677 + ... + 1676723.

It is an arithmetic number, because the mean of its divisors is an integer number (1084256).

Almost surely, 2^78804900 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 78804900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136616256).

78804900 is an abundant number, since it is smaller than the sum of its proper divisors (194427612).

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

78804900 is a wasteful number, since it uses less digits than its factorization.

78804900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 78804900 is about 8877.2124002977. The cubic root of 78804900 is about 428.7305266452.

The spelling of 78804900 in words is "seventy-eight million, eight hundred four thousand, nine hundred".