78980400 has 240 divisors, whose sum is σ = 287838720. Its totient is φ = 20563200.

The previous prime is 78980383. The next prime is 78980423. The reversal of 78980400 is 408987.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 766749 + ... + 766851.

It is an arithmetic number, because the mean of its divisors is an integer number (1199328).

Almost surely, 2^78980400 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 78980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143919360).

78980400 is an abundant number, since it is smaller than the sum of its proper divisors (208858320).

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

78980400 is a wasteful number, since it uses less digits than its factorization.

78980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

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

The square root of 78980400 is about 8887.0917627759. The cubic root of 78980400 is about 429.0485543362.

The spelling of 78980400 in words is "seventy-eight million, nine hundred eighty thousand, four hundred".