76336128 has 176 divisors, whose sum is σ = 247605120. Its totient is φ = 23040000.

The previous prime is 76336123. The next prime is 76336157. The reversal of 76336128 is 82163367.

It is a happy number.

76336128 is a `hidden beast` number, since 7 + 6 + 33 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76336092 and 76336101.

It is not an unprimeable number, because it can be changed into a prime (76336123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304003 + ... + 304253.

Almost surely, 2^76336128 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 76336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123802560).

76336128 is an abundant number, since it is smaller than the sum of its proper divisors (171268992).

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

76336128 is a wasteful number, since it uses less digits than its factorization.

76336128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 267 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 76336128 is about 8737.0548813659. The cubic root of 76336128 is about 424.2059045010.

The spelling of 76336128 in words is "seventy-six million, three hundred thirty-six thousand, one hundred twenty-eight".