79086067200 has 1200 divisors, whose sum is σ = 354748214304. Its totient is φ = 16986931200.

The previous prime is 79086067169. The next prime is 79086067211. The reversal of 79086067200 is 276068097.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 123378880 + ... + 123379520.

Almost surely, 2^79086067200 is an apocalyptic number.

79086067200 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 79086067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177374107152).

79086067200 is an abundant number, since it is smaller than the sum of its proper divisors (275662147104).

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

79086067200 is a wasteful number, since it uses less digits than its factorization.

79086067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 79086067200 in words is "seventy-nine billion, eighty-six million, sixty-seven thousand, two hundred".