765862480 has 80 divisors (see below), whose sum is σ = 1821758400. Its totient is φ = 299335680.

The previous prime is 765862477. The next prime is 765862483. The reversal of 765862480 is 84268567.

It is an interprime number because it is at equal distance from previous prime (765862477) and next prime (765862483).

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

It is a self number, because there is not a number n which added to its sum of digits gives 765862480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765862483) 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, 995536 + ... + 996304.

It is an arithmetic number, because the mean of its divisors is an integer number (22771980).

Almost surely, 2^765862480 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 765862480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910879200).

765862480 is an abundant number, since it is smaller than the sum of its proper divisors (1055895920).

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

765862480 is a wasteful number, since it uses less digits than its factorization.

765862480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 765862480 is about 27674.2204948938. The cubic root of 765862480 is about 914.9210040593.

The spelling of 765862480 in words is "seven hundred sixty-five million, eight hundred sixty-two thousand, four hundred eighty".