79849800 has 288 divisors, whose sum is σ = 292481280. Its totient is φ = 20217600.

The previous prime is 79849787. The next prime is 79849817. The reversal of 79849800 is 894897.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1506574 + ... + 1506626.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^79849800 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 79849800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

79849800 is an abundant number, since it is smaller than the sum of its proper divisors (212631480).

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

79849800 is a wasteful number, since it uses less digits than its factorization.

79849800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 79849800 is about 8935.8715299628. The cubic root of 79849800 is about 430.6171056571.

The spelling of 79849800 in words is "seventy-nine million, eight hundred forty-nine thousand, eight hundred".