8979782400 has 648 divisors, whose sum is σ = 34161813504. Its totient is φ = 2246860800.

The previous prime is 8979782387. The next prime is 8979782419. The reversal of 8979782400 is 42879798.

It is a congruent number.

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, 83923147 + ... + 83923253.

It is an arithmetic number, because the mean of its divisors is an integer number (52718848).

Almost surely, 2^8979782400 is an apocalyptic number.

8979782400 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 8979782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17080906752).

8979782400 is an abundant number, since it is smaller than the sum of its proper divisors (25182031104).

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

8979782400 is a wasteful number, since it uses less digits than its factorization.

8979782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 8979782400 is about 94761.7137877951. The cubic root of 8979782400 is about 2078.5250885215.

The spelling of 8979782400 in words is "eight billion, nine hundred seventy-nine million, seven hundred eighty-two thousand, four hundred".