865484880 has 160 divisors (see below), whose sum is σ = 2900481024. Its totient is φ = 212226048.

The previous prime is 865484863. The next prime is 865484899. The reversal of 865484880 is 88484568.

865484880 is nontrivially palindromic in base 14.

It is a super-2 number, since 2×865484880² = 1498128155017228800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1425537 + ... + 1426143.

Almost surely, 2^865484880 is an apocalyptic number.

865484880 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 865484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450240512).

865484880 is an abundant number, since it is smaller than the sum of its proper divisors (2034996144).

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

865484880 is a wasteful number, since it uses less digits than its factorization.

865484880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The square root of 865484880 is about 29419.1243921365. The cubic root of 865484880 is about 952.9859439238.

The spelling of 865484880 in words is "eight hundred sixty-five million, four hundred eighty-four thousand, eight hundred eighty".