8982758400 has 1056 divisors, whose sum is σ = 38987980800. Its totient is φ = 1806336000.

The previous prime is 8982758359. The next prime is 8982758417. The reversal of 8982758400 is 48572898.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289766385 + ... + 289766415.

Almost surely, 2^8982758400 is an apocalyptic number.

8982758400 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 8982758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19493990400).

8982758400 is an abundant number, since it is smaller than the sum of its proper divisors (30005222400).

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

8982758400 is a wasteful number, since it uses less digits than its factorization.

8982758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 8982758400 is about 94777.4150312193. The cubic root of 8982758400 is about 2078.7546786228.

The spelling of 8982758400 in words is "eight billion, nine hundred eighty-two million, seven hundred fifty-eight thousand, four hundred".