7887630744 has 320 divisors, whose sum is σ = 26056022400. Its totient is φ = 2210193216.

The previous prime is 7887630703. The next prime is 7887630749. The reversal of 7887630744 is 4470367887.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7887630749) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34747159 + ... + 34747385.

It is an arithmetic number, because the mean of its divisors is an integer number (81425070).

Almost surely, 2^7887630744 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 7887630744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13028011200).

7887630744 is an abundant number, since it is smaller than the sum of its proper divisors (18168391656).

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

7887630744 is a wasteful number, since it uses less digits than its factorization.

7887630744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The square root of 7887630744 is about 88812.3344136387. The cubic root of 7887630744 is about 1990.5917067410.

The spelling of 7887630744 in words is "seven billion, eight hundred eighty-seven million, six hundred thirty thousand, seven hundred forty-four".