79675034400 has 1152 divisors, whose sum is σ = 327159060480. Its totient is φ = 18811699200.

The previous prime is 79675034399. The next prime is 79675034401. The reversal of 79675034400 is 443057697.

It is an interprime number because it is at equal distance from previous prime (79675034399) and next prime (79675034401).

It is a super-2 number, since 2×79675034400² (a number of 23 digits) contains 22 as substring.

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 (79675034401) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 705088744 + ... + 705088856.

It is an arithmetic number, because the mean of its divisors is an integer number (283992240).

Almost surely, 2^79675034400 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 79675034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163579530240).

79675034400 is an abundant number, since it is smaller than the sum of its proper divisors (247484026080).

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

79675034400 is a wasteful number, since it uses less digits than its factorization.

79675034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 79675034400 in words is "seventy-nine billion, six hundred seventy-five million, thirty-four thousand, four hundred".