88775760 has 80 divisors (see below), whose sum is σ = 277857216. Its totient is φ = 23445504.

The previous prime is 88775749. The next prime is 88775857. The reversal of 88775760 is 6757788.

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

It is a super-2 number, since 2×88775760² = 15762271127155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23952 + ... + 27408.

Almost surely, 2^88775760 is an apocalyptic number.

88775760 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 88775760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138928608).

88775760 is an abundant number, since it is smaller than the sum of its proper divisors (189081456).

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

88775760 is a wasteful number, since it uses less digits than its factorization.

88775760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The square root of 88775760 is about 9422.0889403571. The cubic root of 88775760 is about 446.0992224964.

The spelling of 88775760 in words is "eighty-eight million, seven hundred seventy-five thousand, seven hundred sixty".