76079952 has 320 divisors, whose sum is σ = 266649600. Its totient is φ = 20528640.

The previous prime is 76079903. The next prime is 76079957. The reversal of 76079952 is 25997067.

It is a junction number, because it is equal to n+sod(n) for n = 76079898 and 76079907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76079957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2454177 + ... + 2454207.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 2^76079952 is an apocalyptic number.

76079952 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 76079952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133324800).

76079952 is an abundant number, since it is smaller than the sum of its proper divisors (190569648).

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

76079952 is a wasteful number, since it uses less digits than its factorization.

76079952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 76079952 is about 8722.3822434012. The cubic root of 76079952 is about 423.7308425829.

The spelling of 76079952 in words is "seventy-six million, seventy-nine thousand, nine hundred fifty-two".