7876872000 has 224 divisors, whose sum is σ = 28900160640. Its totient is φ = 2100441600.

The previous prime is 7876871993. The next prime is 7876872019. The reversal of 7876872000 is 2786787.

It is a super-2 number, since 2×7876872000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197767 + ... + 234233.

Almost surely, 2^7876872000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7876872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450080320).

7876872000 is an abundant number, since it is smaller than the sum of its proper divisors (21023288640).

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

7876872000 is a wasteful number, since it uses less digits than its factorization.

7876872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36503 (or 36477 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 7876872000 is about 88751.7436448434. The cubic root of 7876872000 is about 1989.6862379152.

The spelling of 7876872000 in words is "seven billion, eight hundred seventy-six million, eight hundred seventy-two thousand".