80865408 has 128 divisors (see below), whose sum is σ = 235105920. Its totient is φ = 24477696.

The previous prime is 80865377. The next prime is 80865409. The reversal of 80865408 is 80456808.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×80865408² = 13078428422012928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (80865409) 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, 484141 + ... + 484307.

It is an arithmetic number, because the mean of its divisors is an integer number (1836765).

Almost surely, 2^80865408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80865408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117552960).

80865408 is an abundant number, since it is smaller than the sum of its proper divisors (154240512).

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

80865408 is a wasteful number, since it uses less digits than its factorization.

80865408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 80865408 is about 8992.5195579437. The cubic root of 80865408 is about 432.4350897720.

The spelling of 80865408 in words is "eighty million, eight hundred sixty-five thousand, four hundred eight".