7859980800 has 1080 divisors, whose sum is σ = 35184685536. Its totient is φ = 1702010880.

The previous prime is 7859980763. The next prime is 7859980837. The reversal of 7859980800 is 80899587.

It is an interprime number because it is at equal distance from previous prime (7859980763) and next prime (7859980837).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 413683191 + ... + 413683209.

Almost surely, 2^7859980800 is an apocalyptic number.

7859980800 is a gapful number since it is divisible by the number (70) 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 7859980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17592342768).

7859980800 is an abundant number, since it is smaller than the sum of its proper divisors (27324704736).

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

7859980800 is an equidigital number, since it uses as much as digits as its factorization.

7859980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 7859980800 is about 88656.5327542195. The cubic root of 7859980800 is about 1988.2629893623.

The spelling of 7859980800 in words is "seven billion, eight hundred fifty-nine million, nine hundred eighty thousand, eight hundred".