76157928 has 256 divisors, whose sum is σ = 278784000. Its totient is φ = 18662400.

The previous prime is 76157911. The next prime is 76157929. The reversal of 76157928 is 82975167.

76157928 is a `hidden beast` number, since 7 + 615 + 7 + 9 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76157929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315888 + ... + 316128.

It is an arithmetic number, because the mean of its divisors is an integer number (1089000).

Almost surely, 2^76157928 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 76157928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139392000).

76157928 is an abundant number, since it is smaller than the sum of its proper divisors (202626072).

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

76157928 is a wasteful number, since it uses less digits than its factorization.

76157928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 76157928 is about 8726.8509784458. The cubic root of 76157928 is about 423.8755568107.

The spelling of 76157928 in words is "seventy-six million, one hundred fifty-seven thousand, nine hundred twenty-eight".