7871001600 has 660 divisors, whose sum is σ = 32703199520. Its totient is φ = 1635532800.

The previous prime is 7871001599. The next prime is 7871001623. The reversal of 7871001600 is 61001787.

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 715545595 + ... + 715545605.

Almost surely, 2^7871001600 is an apocalyptic number.

7871001600 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 7871001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351599760).

7871001600 is an abundant number, since it is smaller than the sum of its proper divisors (24832197920).

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

7871001600 is an equidigital number, since it uses as much as digits as its factorization.

7871001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 7871001600 is about 88718.6654543451. The cubic root of 7871001600 is about 1989.1918302814.

The spelling of 7871001600 in words is "seven billion, eight hundred seventy-one million, one thousand, six hundred".