7985376000 has 864 divisors, whose sum is σ = 34919434368. Its totient is φ = 1710489600.

The previous prime is 7985375989. The next prime is 7985376013. The reversal of 7985376000 is 6735897.

It is a happy number.

7985376000 is a `hidden beast` number, since 7 + 9 + 8 + 5 + 37 + 600 + 0 = 666.

It is a super-2 number, since 2×7985376000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 34271884 + ... + 34272116.

It is an arithmetic number, because the mean of its divisors is an integer number (40416012).

Almost surely, 2^7985376000 is an apocalyptic number.

7985376000 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 7985376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17459717184).

7985376000 is an abundant number, since it is smaller than the sum of its proper divisors (26934058368).

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

7985376000 is a wasteful number, since it uses less digits than its factorization.

7985376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 7985376000 is about 89360.9310605032. The cubic root of 7985376000 is about 1998.7805900041.

The spelling of 7985376000 in words is "seven billion, nine hundred eighty-five million, three hundred seventy-six thousand".