79948000 has 192 divisors, whose sum is σ = 226437120. Its totient is φ = 27456000.

The previous prime is 79947997. The next prime is 79948013. The reversal of 79948000 is 84997.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011961 + ... + 1012039.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^79948000 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 79948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

79948000 is an abundant number, since it is smaller than the sum of its proper divisors (146489120).

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

79948000 is a wasteful number, since it uses less digits than its factorization.

79948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 79948000 is about 8941.3645491055. The cubic root of 79948000 is about 430.7935589348.

The spelling of 79948000 in words is "seventy-nine million, nine hundred forty-eight thousand".