79941214080 has 1536 divisors, whose sum is σ = 374250240000. Its totient is φ = 15240462336.

The previous prime is 79941214079. The next prime is 79941214109. The reversal of 79941214080 is 8041214997.

It is a happy number.

79941214080 is a `hidden beast` number, since 7 + 99 + 412 + 140 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 229057746 + ... + 229058094.

It is an arithmetic number, because the mean of its divisors is an integer number (243652500).

Almost surely, 2^79941214080 is an apocalyptic number.

79941214080 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 79941214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120000).

79941214080 is an abundant number, since it is smaller than the sum of its proper divisors (294309025920).

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

79941214080 is a wasteful number, since it uses less digits than its factorization.

79941214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 79941214080 in words is "seventy-nine billion, nine hundred forty-one million, two hundred fourteen thousand, eighty".