79938000 has 120 divisors (see below), whose sum is σ = 279259656. Its totient is φ = 21312000.

The previous prime is 79937969. The next prime is 79938017. The reversal of 79938000 is 83997.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 74235456 = 2388^2 + 8616^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15780 + ... + 20220.

Almost surely, 2^79938000 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 79938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139629828).

79938000 is an abundant number, since it is smaller than the sum of its proper divisors (199321656).

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

79938000 is a wasteful number, since it uses less digits than its factorization.

79938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 79938000 is about 8940.8053328545. The cubic root of 79938000 is about 430.7755967793.

The spelling of 79938000 in words is "seventy-nine million, nine hundred thirty-eight thousand".