7876611072 has 440 divisors, whose sum is σ = 26215192080. Its totient is φ = 2335703040.

The previous prime is 7876611011. The next prime is 7876611077. The reversal of 7876611072 is 2701166787.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7876611077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81202128 + ... + 81202224.

It is an arithmetic number, because the mean of its divisors is an integer number (59579982).

Almost surely, 2^7876611072 is an apocalyptic number.

7876611072 is a gapful number since it is divisible by the number (72) 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 7876611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107596040).

7876611072 is an abundant number, since it is smaller than the sum of its proper divisors (18338581008).

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

7876611072 is a wasteful number, since it uses less digits than its factorization.

7876611072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 7876611072 is about 88750.2736446486. The cubic root of 7876611072 is about 1989.6642676635.

The spelling of 7876611072 in words is "seven billion, eight hundred seventy-six million, six hundred eleven thousand, seventy-two".