8155879200 has 1152 divisors, whose sum is σ = 37797580800. Its totient is φ = 1652244480.

The previous prime is 8155879169. The next prime is 8155879243. The reversal of 8155879200 is 29785518.

It is a happy number.

8155879200 is a `hidden beast` number, since 8 + 1 + 558 + 7 + 92 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48837517 + ... + 48837683.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 2^8155879200 is an apocalyptic number.

8155879200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8155879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18898790400).

8155879200 is an abundant number, since it is smaller than the sum of its proper divisors (29641701600).

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

8155879200 is a wasteful number, since it uses less digits than its factorization.

8155879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 8155879200 is about 90309.9064333476. The cubic root of 8155879200 is about 2012.9064657445.

The spelling of 8155879200 in words is "eight billion, one hundred fifty-five million, eight hundred seventy-nine thousand, two hundred".