79292426400 has 1728 divisors, whose sum is σ = 350977536000. Its totient is φ = 16605388800.

The previous prime is 79292426383. The next prime is 79292426407. The reversal of 79292426400 is 462429297.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (79292426407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1003701561 + ... + 1003701639.

It is an arithmetic number, because the mean of its divisors is an integer number (203112000).

Almost surely, 2^79292426400 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 79292426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768000).

79292426400 is an abundant number, since it is smaller than the sum of its proper divisors (271685109600).

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

79292426400 is a wasteful number, since it uses less digits than its factorization.

79292426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 79292426400 in words is "seventy-nine billion, two hundred ninety-two million, four hundred twenty-six thousand, four hundred".