865377976320 has 1824 divisors, whose sum is σ = 3847343834880. Its totient is φ = 183458856960.

The previous prime is 865377976291. The next prime is 865377976327. The reversal of 865377976320 is 23679773568.

865377976320 is a `hidden beast` number, since 8 + 6 + 537 + 7 + 9 + 76 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1824).

It is not an unprimeable number, because it can be changed into a prime (865377976327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45546209271 + ... + 45546209289.

Almost surely, 2^865377976320 is an apocalyptic number.

865377976320 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 865377976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923671917440).

865377976320 is an abundant number, since it is smaller than the sum of its proper divisors (2981965858560).

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

865377976320 is an equidigital number, since it uses as much as digits as its factorization.

865377976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 865377976320 in words is "eight hundred sixty-five billion, three hundred seventy-seven million, nine hundred seventy-six thousand, three hundred twenty".