76011936 has 288 divisors, whose sum is σ = 275099328. Its totient is φ = 18063360.

The previous prime is 76011931. The next prime is 76011967. The reversal of 76011936 is 63911067.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 76011897 and 76011906.

It is not an unprimeable number, because it can be changed into a prime (76011931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672616 + ... + 672728.

It is an arithmetic number, because the mean of its divisors is an integer number (955206).

Almost surely, 2^76011936 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 76011936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137549664).

76011936 is an abundant number, since it is smaller than the sum of its proper divisors (199087392).

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

76011936 is a wasteful number, since it uses less digits than its factorization.

76011936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 76011936 is about 8718.4824367547. The cubic root of 76011936 is about 423.6045321727.

The spelling of 76011936 in words is "seventy-six million, eleven thousand, nine hundred thirty-six".