8759790400 has 168 divisors, whose sum is σ = 22909560480. Its totient is φ = 3287255040.

The previous prime is 8759790337. The next prime is 8759790401. The reversal of 8759790400 is 40979578.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8759790401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3251454 + ... + 3254146.

Almost surely, 2^8759790400 is an apocalyptic number.

8759790400 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 8759790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11454780240).

8759790400 is an abundant number, since it is smaller than the sum of its proper divisors (14149770080).

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

8759790400 is a wasteful number, since it uses less digits than its factorization.

8759790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

The square root of 8759790400 is about 93593.7519282137. The cubic root of 8759790400 is about 2061.4109164198.

The spelling of 8759790400 in words is "eight billion, seven hundred fifty-nine million, seven hundred ninety thousand, four hundred".