79201668 has 192 divisors, whose sum is σ = 244984320. Its totient is φ = 19353600.

The previous prime is 79201667. The next prime is 79201679. The reversal of 79201668 is 86610297.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (79201667) 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, 1298358 + ... + 1298418.

It is an arithmetic number, because the mean of its divisors is an integer number (1275960).

Almost surely, 2^79201668 is an apocalyptic number.

79201668 is a gapful number since it is divisible by the number (78) 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 79201668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122492160).

79201668 is an abundant number, since it is smaller than the sum of its proper divisors (165782652).

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

79201668 is a wasteful number, since it uses less digits than its factorization.

79201668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 79201668 is about 8899.5318978023. The cubic root of 79201668 is about 429.4488485791.

The spelling of 79201668 in words is "seventy-nine million, two hundred one thousand, six hundred sixty-eight".