76120632 has 96 divisors (see below), whose sum is σ = 238399200. Its totient is φ = 21491712.

The previous prime is 76120613. The next prime is 76120637. The reversal of 76120632 is 23602167.

It is a happy number.

76120632 is a `hidden beast` number, since 7 + 6 + 1 + 20 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76120596 and 76120605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76120637) 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, 44008 + ... + 45704.

It is an arithmetic number, because the mean of its divisors is an integer number (2483325).

Almost surely, 2^76120632 is an apocalyptic number.

76120632 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 76120632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119199600).

76120632 is an abundant number, since it is smaller than the sum of its proper divisors (162278568).

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

76120632 is a wasteful number, since it uses less digits than its factorization.

76120632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 76120632 is about 8724.7138635029. The cubic root of 76120632 is about 423.8063521789.

Adding to 76120632 its reverse (23602167), we get a palindrome (99722799).

The spelling of 76120632 in words is "seventy-six million, one hundred twenty thousand, six hundred thirty-two".