79668576 has 192 divisors, whose sum is σ = 257826240. Its totient is φ = 23777280.

The previous prime is 79668571. The next prime is 79668581. The reversal of 79668576 is 67586697.

It is a happy number.

79668576 is a `hidden beast` number, since 7 + 9 + 6 + 68 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (79668571) and next prime (79668581).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79668571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460426 + ... + 460598.

It is an arithmetic number, because the mean of its divisors is an integer number (1342845).

Almost surely, 2^79668576 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 79668576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128913120).

79668576 is an abundant number, since it is smaller than the sum of its proper divisors (178157664).

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

79668576 is a wasteful number, since it uses less digits than its factorization.

79668576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 79668576 is about 8925.7255167297. The cubic root of 79668576 is about 430.2910882830.

The spelling of 79668576 in words is "seventy-nine million, six hundred sixty-eight thousand, five hundred seventy-six".