79541400576 has 176 divisors, whose sum is σ = 243454786560. Its totient is φ = 22834667520.

The previous prime is 79541400569. The next prime is 79541400577. The reversal of 79541400576 is 67500414597.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79541400577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580105 + ... + 703991.

Almost surely, 2^79541400576 is an apocalyptic number.

79541400576 is a gapful number since it is divisible by the number (76) 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 79541400576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121727393280).

79541400576 is an abundant number, since it is smaller than the sum of its proper divisors (163913385984).

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

79541400576 is a wasteful number, since it uses less digits than its factorization.

79541400576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123940 (or 123922 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 79541400576 in words is "seventy-nine billion, five hundred forty-one million, four hundred thousand, five hundred seventy-six".