79874182080 has 1792 divisors, whose sum is σ = 379219968000. Its totient is φ = 15328051200.

The previous prime is 79874182079. The next prime is 79874182181. The reversal of 79874182080 is 8028147897.

It is a happy number.

79874182080 is a `hidden beast` number, since 79 + 87 + 418 + 2 + 0 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 897462676 + ... + 897462764.

Almost surely, 2^79874182080 is an apocalyptic number.

79874182080 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 79874182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189609984000).

79874182080 is an abundant number, since it is smaller than the sum of its proper divisors (299345785920).

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

79874182080 is a wasteful number, since it uses less digits than its factorization.

79874182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 79874182080 in words is "seventy-nine billion, eight hundred seventy-four million, one hundred eighty-two thousand, eighty".