86802480 has 120 divisors (see below), whose sum is σ = 300992640. Its totient is φ = 22394880.

The previous prime is 86802439. The next prime is 86802491. The reversal of 86802480 is 8420868.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20376 + ... + 24264.

It is an arithmetic number, because the mean of its divisors is an integer number (2508272).

Almost surely, 2^86802480 is an apocalyptic number.

86802480 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 86802480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150496320).

86802480 is an abundant number, since it is smaller than the sum of its proper divisors (214190160).

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

86802480 is a wasteful number, since it uses less digits than its factorization.

86802480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 86802480 is about 9316.7848531562. The cubic root of 86802480 is about 442.7691745396.

The spelling of 86802480 in words is "eighty-six million, eight hundred two thousand, four hundred eighty".