7876687728 has 320 divisors, whose sum is σ = 26638295040. Its totient is φ = 1947442176.

The previous prime is 7876687703. The next prime is 7876687733. The reversal of 7876687728 is 8277866787.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8879701 + ... + 8880587.

It is an arithmetic number, because the mean of its divisors is an integer number (83244672).

Almost surely, 2^7876687728 is an apocalyptic number.

7876687728 is a gapful number since it is divisible by the number (78) 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 7876687728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13319147520).

7876687728 is an abundant number, since it is smaller than the sum of its proper divisors (18761607312).

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

7876687728 is a wasteful number, since it uses less digits than its factorization.

7876687728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its digits is 88510464, while the sum is 66.

The square root of 7876687728 is about 88750.7055070550. The cubic root of 7876687728 is about 1989.6707221825.

The spelling of 7876687728 in words is "seven billion, eight hundred seventy-six million, six hundred eighty-seven thousand, seven hundred twenty-eight".