79286323200 has 576 divisors, whose sum is σ = 307804049280. Its totient is φ = 17623941120.

The previous prime is 79286323177. The next prime is 79286323223. The reversal of 79286323200 is 232368297.

It is an interprime number because it is at equal distance from previous prime (79286323177) and next prime (79286323223).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39781404 + ... + 39783396.

It is an arithmetic number, because the mean of its divisors is an integer number (534382030).

Almost surely, 2^79286323200 is an apocalyptic number.

79286323200 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 79286323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153902024640).

79286323200 is an abundant number, since it is smaller than the sum of its proper divisors (228517726080).

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

79286323200 is a wasteful number, since it uses less digits than its factorization.

79286323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 79286323200 in words is "seventy-nine billion, two hundred eighty-six million, three hundred twenty-three thousand, two hundred".