76842752 has 72 divisors (see below), whose sum is σ = 177141216. Its totient is φ = 32587776.

The previous prime is 76842709. The next prime is 76842761. The reversal of 76842752 is 25724867.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245348 + ... + 245660.

Almost surely, 2^76842752 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 76842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88570608).

76842752 is an abundant number, since it is smaller than the sum of its proper divisors (100298464).

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

76842752 is a wasteful number, since it uses less digits than its factorization.

76842752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 76842752 is about 8765.9997718458. Note that the first 3 decimals coincide. The cubic root of 76842752 is about 425.1422859227.

The spelling of 76842752 in words is "seventy-six million, eight hundred forty-two thousand, seven hundred fifty-two".