76952128 has 84 divisors (see below), whose sum is σ = 177017680. Its totient is φ = 33073920.

The previous prime is 76952111. The next prime is 76952177. The reversal of 76952128 is 82125967.

Its product of digits (60480) is a multiple of the sum of its prime factors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146875 + ... + 147397.

Almost surely, 2^76952128 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 76952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88508840).

76952128 is an abundant number, since it is smaller than the sum of its proper divisors (100065552).

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

76952128 is a wasteful number, since it uses less digits than its factorization.

76952128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 555 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 76952128 is about 8772.2362029302. The cubic root of 76952128 is about 425.3439024986.

The spelling of 76952128 in words is "seventy-six million, nine hundred fifty-two thousand, one hundred twenty-eight".