7887957840 has 480 divisors, whose sum is σ = 32816399616. Its totient is φ = 1656668160.

The previous prime is 7887957839. The next prime is 7887957853. The reversal of 7887957840 is 487597887.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 3683170 + ... + 3685310.

Almost surely, 2^7887957840 is an apocalyptic number.

7887957840 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 7887957840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16408199808).

7887957840 is an abundant number, since it is smaller than the sum of its proper divisors (24928441776).

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

7887957840 is a wasteful number, since it uses less digits than its factorization.

7887957840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The square root of 7887957840 is about 88814.1758955179. The cubic root of 7887957840 is about 1990.6192226329.

The spelling of 7887957840 in words is "seven billion, eight hundred eighty-seven million, nine hundred fifty-seven thousand, eight hundred forty".