79764048000 has 1024 divisors, whose sum is σ = 361775232000. Its totient is φ = 16821043200.

The previous prime is 79764047983. The next prime is 79764048061. The reversal of 79764048000 is 84046797.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39310986 + ... + 39313014.

It is an arithmetic number, because the mean of its divisors is an integer number (353296125).

Almost surely, 2^79764048000 is an apocalyptic number.

79764048000 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 79764048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180887616000).

79764048000 is an abundant number, since it is smaller than the sum of its proper divisors (282011184000).

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

79764048000 is a wasteful number, since it uses less digits than its factorization.

79764048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 79764048000 in words is "seventy-nine billion, seven hundred sixty-four million, forty-eight thousand".