8901379200 has 576 divisors, whose sum is σ = 34604928000. Its totient is φ = 2005032960.

The previous prime is 8901379177. The next prime is 8901379213. The reversal of 8901379200 is 29731098.

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, 59740726 + ... + 59740874.

It is an arithmetic number, because the mean of its divisors is an integer number (60078000).

Almost surely, 2^8901379200 is an apocalyptic number.

8901379200 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 8901379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302464000).

8901379200 is an abundant number, since it is smaller than the sum of its proper divisors (25703548800).

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

8901379200 is a wasteful number, since it uses less digits than its factorization.

8901379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 8901379200 is about 94347.1207827775. The cubic root of 8901379200 is about 2072.4581407187.

The spelling of 8901379200 in words is "eight billion, nine hundred one million, three hundred seventy-nine thousand, two hundred".