88780960 has 48 divisors (see below), whose sum is σ = 210308616. Its totient is φ = 35417088.

The previous prime is 88780891. The next prime is 88780961. The reversal of 88780960 is 6908788.

It can be written as a sum of positive squares in 4 ways, for example, as 88134544 + 646416 = 9388^2 + 804^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 88780960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88780961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116902 + ... + 117658.

Almost surely, 2^88780960 is an apocalyptic number.

88780960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88780960 is an abundant number, since it is smaller than the sum of its proper divisors (121527656).

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

88780960 is a wasteful number, since it uses less digits than its factorization.

88780960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 88780960 is about 9422.3648836160. The cubic root of 88780960 is about 446.1079323464.

The spelling of 88780960 in words is "eighty-eight million, seven hundred eighty thousand, nine hundred sixty".