8791787440 has 80 divisors (see below), whose sum is σ = 20965845600. Its totient is φ = 3426621440.

The previous prime is 8791787401. The next prime is 8791787441. The reversal of 8791787440 is 447871978.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8791787441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4187511 + ... + 4189609.

It is an arithmetic number, because the mean of its divisors is an integer number (262073070).

Almost surely, 2^8791787440 is an apocalyptic number.

8791787440 is a gapful number since it is divisible by the number (80) 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 8791787440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10482922800).

8791787440 is an abundant number, since it is smaller than the sum of its proper divisors (12174058160).

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

8791787440 is a wasteful number, since it uses less digits than its factorization.

8791787440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 55.

The square root of 8791787440 is about 93764.5318870627. The cubic root of 8791787440 is about 2063.9177838673.

The spelling of 8791787440 in words is "eight billion, seven hundred ninety-one million, seven hundred eighty-seven thousand, four hundred forty".