79766100 has 144 divisors (see below), whose sum is σ = 264983040. Its totient is φ = 20563200.

The previous prime is 79766083. The next prime is 79766111. The reversal of 79766100 is 166797.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83224 + ... + 84176.

It is an arithmetic number, because the mean of its divisors is an integer number (1840160).

Almost surely, 2^79766100 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 79766100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132491520).

79766100 is an abundant number, since it is smaller than the sum of its proper divisors (185216940).

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

79766100 is a wasteful number, since it uses less digits than its factorization.

79766100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 79766100 is about 8931.1869311979. The cubic root of 79766100 is about 430.4665928501.

The spelling of 79766100 in words is "seventy-nine million, seven hundred sixty-six thousand, one hundred".