79855200 has 144 divisors (see below), whose sum is σ = 288887760. Its totient is φ = 21288960.

The previous prime is 79855199. The next prime is 79855201. The reversal of 79855200 is 255897.

It is an interprime number because it is at equal distance from previous prime (79855199) and next prime (79855201).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79855201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19752 + ... + 23448.

It is an arithmetic number, because the mean of its divisors is an integer number (2006165).

Almost surely, 2^79855200 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 79855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144443880).

79855200 is an abundant number, since it is smaller than the sum of its proper divisors (209032560).

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

79855200 is a wasteful number, since it uses less digits than its factorization.

79855200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 79855200 is about 8936.1736778109. The cubic root of 79855200 is about 430.6268125482.

The spelling of 79855200 in words is "seventy-nine million, eight hundred fifty-five thousand, two hundred".