79752749076 has 864 divisors, whose sum is σ = 287860075776. Its totient is φ = 18289152000.

The previous prime is 79752749057. The next prime is 79752749093. The reversal of 79752749076 is 67094725797.

79752749076 is a `hidden beast` number, since 7 + 9 + 75 + 2 + 7 + 490 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1092503376 + ... + 1092503448.

It is an arithmetic number, because the mean of its divisors is an integer number (333171384).

Almost surely, 2^79752749076 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 79752749076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143930037888).

79752749076 is an abundant number, since it is smaller than the sum of its proper divisors (208107326700).

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

79752749076 is a wasteful number, since it uses less digits than its factorization.

79752749076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 63.

It can be divided in two parts, 79752 and 749076, that added together give a palindrome (828828).

The spelling of 79752749076 in words is "seventy-nine billion, seven hundred fifty-two million, seven hundred forty-nine thousand, seventy-six".