79809933504 has 448 divisors, whose sum is σ = 268731187200. Its totient is φ = 20387635200.

The previous prime is 79809933499. The next prime is 79809933509. The reversal of 79809933504 is 40533990897.

It is an interprime number because it is at equal distance from previous prime (79809933499) and next prime (79809933509).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (79809933509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32455027 + ... + 32457485.

It is an arithmetic number, because the mean of its divisors is an integer number (599846400).

Almost surely, 2^79809933504 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 79809933504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134365593600).

79809933504 is an abundant number, since it is smaller than the sum of its proper divisors (188921253696).

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

79809933504 is a wasteful number, since it uses less digits than its factorization.

79809933504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 79809933504 in words is "seventy-nine billion, eight hundred nine million, nine hundred thirty-three thousand, five hundred four".