79870406400 has 1512 divisors, whose sum is σ = 336588300720. Its totient is φ = 18632540160.

The previous prime is 79870406387. The next prime is 79870406401. The reversal of 79870406400 is 460407897.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79870406401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1506988774 + ... + 1506988826.

It is an arithmetic number, because the mean of its divisors is an integer number (222611310).

Almost surely, 2^79870406400 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 79870406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168294150360).

79870406400 is an abundant number, since it is smaller than the sum of its proper divisors (256717894320).

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

79870406400 is a wasteful number, since it uses less digits than its factorization.

79870406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 79870406400 in words is "seventy-nine billion, eight hundred seventy million, four hundred six thousand, four hundred".