7877888928 has 384 divisors, whose sum is σ = 28651875840. Its totient is φ = 2076005376.

The previous prime is 7877888911. The next prime is 7877888939. The reversal of 7877888928 is 8298887787.

It is a super-2 number, since 2×7877888928² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 6367926 + ... + 6369162.

It is an arithmetic number, because the mean of its divisors is an integer number (74614260).

Almost surely, 2^7877888928 is an apocalyptic number.

7877888928 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 7877888928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325937920).

7877888928 is an abundant number, since it is smaller than the sum of its proper divisors (20773986912).

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

7877888928 is a wasteful number, since it uses less digits than its factorization.

7877888928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1262 counting only the distinct ones).

The product of its digits is 202309632, while the sum is 72.

The square root of 7877888928 is about 88757.4725192195. The cubic root of 7877888928 is about 1989.7718590678.

The spelling of 7877888928 in words is "seven billion, eight hundred seventy-seven million, eight hundred eighty-eight thousand, nine hundred twenty-eight".