79977110400 has 1536 divisors, whose sum is σ = 347263488000. Its totient is φ = 17766604800.

The previous prime is 79977110393. The next prime is 79977110413. The reversal of 79977110400 is 401177997.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 776476749 + ... + 776476851.

It is an arithmetic number, because the mean of its divisors is an integer number (226083000).

Almost surely, 2^79977110400 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 79977110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173631744000).

79977110400 is an abundant number, since it is smaller than the sum of its proper divisors (267286377600).

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

79977110400 is a wasteful number, since it uses less digits than its factorization.

79977110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 79977110400 in words is "seventy-nine billion, nine hundred seventy-seven million, one hundred ten thousand, four hundred".