8762880 has 160 divisors (see below), whose sum is σ = 32212224. Its totient is φ = 1990656.

The previous prime is 8762867. The next prime is 8762893. The reversal of 8762880 is 882678.

It is an interprime number because it is at equal distance from previous prime (8762867) and next prime (8762893).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53679 + ... + 53841.

Almost surely, 2^8762880 is an apocalyptic number.

8762880 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 8762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16106112).

8762880 is an abundant number, since it is smaller than the sum of its proper divisors (23449344).

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

8762880 is a wasteful number, since it uses less digits than its factorization.

8762880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 8762880 is about 2960.2162083199. The cubic root of 8762880 is about 206.1653242862.

The spelling of 8762880 in words is "eight million, seven hundred sixty-two thousand, eight hundred eighty".