79033190400 has 1440 divisors, whose sum is σ = 331783452000. Its totient is φ = 18473287680.

The previous prime is 79033190393. The next prime is 79033190413. The reversal of 79033190400 is 409133097.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 1339545571 + ... + 1339545629.

It is an arithmetic number, because the mean of its divisors is an integer number (230405175).

Almost surely, 2^79033190400 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 79033190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165891726000).

79033190400 is an abundant number, since it is smaller than the sum of its proper divisors (252750261600).

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

79033190400 is a wasteful number, since it uses less digits than its factorization.

79033190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 79033190400 in words is "seventy-nine billion, thirty-three million, one hundred ninety thousand, four hundred".