76786528 has 72 divisors (see below), whose sum is σ = 189432432. Its totient is φ = 30369024.

The previous prime is 76786513. The next prime is 76786531. The reversal of 76786528 is 82568767.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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, 18501 + ... + 22267.

It is an arithmetic number, because the mean of its divisors is an integer number (2631006).

Almost surely, 2^76786528 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 76786528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94716216).

76786528 is an abundant number, since it is smaller than the sum of its proper divisors (112645904).

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

76786528 is a wasteful number, since it uses less digits than its factorization.

76786528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804 (or 3789 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 49.

The square root of 76786528 is about 8762.7922490494. The cubic root of 76786528 is about 425.0385718164.

The spelling of 76786528 in words is "seventy-six million, seven hundred eighty-six thousand, five hundred twenty-eight".