86876880 has 80 divisors (see below), whose sum is σ = 278029824. Its totient is φ = 22417920.

The previous prime is 86876879. The next prime is 86876887. The reversal of 86876880 is 8867868.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86876887) 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, 1602 + ... + 13278.

Almost surely, 2^86876880 is an apocalyptic number.

86876880 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 86876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139014912).

86876880 is an abundant number, since it is smaller than the sum of its proper divisors (191152944).

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

86876880 is a wasteful number, since it uses less digits than its factorization.

86876880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11724 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The square root of 86876880 is about 9320.7767916628. The cubic root of 86876880 is about 442.8956402785.

The spelling of 86876880 in words is "eighty-six million, eight hundred seventy-six thousand, eight hundred eighty".