7888772640 has 576 divisors, whose sum is σ = 30888345600. Its totient is φ = 1682601984.

The previous prime is 7888772609. The next prime is 7888772657. The reversal of 7888772640 is 462778887.

It is a super-2 number, since 2×7888772640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56753691 + ... + 56753829.

It is an arithmetic number, because the mean of its divisors is an integer number (53625600).

Almost surely, 2^7888772640 is an apocalyptic number.

7888772640 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 7888772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444172800).

7888772640 is an abundant number, since it is smaller than the sum of its proper divisors (22999572960).

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

7888772640 is a wasteful number, since it uses less digits than its factorization.

7888772640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

The square root of 7888772640 is about 88818.7628826252. The cubic root of 7888772640 is about 1990.6877617373.

The spelling of 7888772640 in words is "seven billion, eight hundred eighty-eight million, seven hundred seventy-two thousand, six hundred forty".