76349952 has 200 divisors, whose sum is σ = 261429696. Its totient is φ = 21731328.

The previous prime is 76349947. The next prime is 76349969. The reversal of 76349952 is 25994367.

It is a happy number.

76349952 is a `hidden beast` number, since 7 + 634 + 9 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76349898 and 76349907.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290173 + ... + 290435.

Almost surely, 2^76349952 is an apocalyptic number.

76349952 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 76349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130714848).

76349952 is an abundant number, since it is smaller than the sum of its proper divisors (185079744).

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

76349952 is an equidigital number, since it uses as much as digits as its factorization.

76349952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 275 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 76349952 is about 8737.8459588162. The cubic root of 76349952 is about 424.2315099761.

The spelling of 76349952 in words is "seventy-six million, three hundred forty-nine thousand, nine hundred fifty-two".