79051190400 has 1728 divisors, whose sum is σ = 367388985600. Its totient is φ = 16024780800.

The previous prime is 79051190359. The next prime is 79051190401. The reversal of 79051190400 is 409115097.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79051190401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 568713531 + ... + 568713669.

Almost surely, 2^79051190400 is an apocalyptic number.

79051190400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79051190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183694492800).

79051190400 is an abundant number, since it is smaller than the sum of its proper divisors (288337795200).

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

79051190400 is a wasteful number, since it uses less digits than its factorization.

79051190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 79051190400 in words is "seventy-nine billion, fifty-one million, one hundred ninety thousand, four hundred".