765624 has 64 divisors (see below), whose sum is σ = 2131200. Its totient is φ = 228096.

The previous prime is 765623. The next prime is 765649. The reversal of 765624 is 426567.

It is a Cunningham number, because it is equal to 875²-1.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (10080) is a multiple of the sum of its prime divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 765591 and 765600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765623) 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, 10452 + ... + 10524.

It is an arithmetic number, because the mean of its divisors is an integer number (33300).

2⁷⁶⁵⁶²⁴ 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 765624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065600).

765624 is an abundant number, since it is smaller than the sum of its proper divisors (1365576).

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

765624 is a wasteful number, since it uses less digits than its factorization.

765624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 765624 is about 874.9994285712. Note that the first 3 decimals coincide. The cubic root of 765624 is about 91.4826029214.

The spelling of 765624 in words is "seven hundred sixty-five thousand, six hundred twenty-four".