8397578880 has 256 divisors, whose sum is σ = 29835734400. Its totient is φ = 2232262656.

The previous prime is 8397578879. The next prime is 8397578881. The reversal of 8397578880 is 888757938.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8397578879) and next prime (8397578881).

It is not an unprimeable number, because it can be changed into a prime (8397578881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7654492 + ... + 7655588.

Almost surely, 2^8397578880 is an apocalyptic number.

8397578880 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 8397578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14917867200).

8397578880 is an abundant number, since it is smaller than the sum of its proper divisors (21438155520).

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

8397578880 is a wasteful number, since it uses less digits than its factorization.

8397578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The square root of 8397578880 is about 91638.3046547676. The cubic root of 8397578880 is about 2032.5973918828.

The spelling of 8397578880 in words is "eight billion, three hundred ninety-seven million, five hundred seventy-eight thousand, eight hundred eighty".