772632 has 96 divisors (see below), whose sum is σ = 2530800. Its totient is φ = 217728.

The previous prime is 772631. The next prime is 772649. The reversal of 772632 is 236277.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 772596 and 772605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10548 + ... + 10620.

2⁷⁷²⁶³² is an apocalyptic number.

772632 is a gapful number since it is divisible by the number (72) 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 772632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265400).

772632 is an abundant number, since it is smaller than the sum of its proper divisors (1758168).

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

772632 is a wasteful number, since it uses less digits than its factorization.

772632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 772632 is about 878.9948805312. The cubic root of 772632 is about 91.7608787126.

The spelling of 772632 in words is "seven hundred seventy-two thousand, six hundred thirty-two".