76849728 has 56 divisors (see below), whose sum is σ = 206154528. Its totient is φ = 25261056.

The previous prime is 76849727. The next prime is 76849769. The reversal of 76849728 is 82794867.

It is not an unprimeable number, because it can be changed into a prime (76849723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11275 + ... + 16757.

Almost surely, 2^76849728 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 76849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103077264).

76849728 is an abundant number, since it is smaller than the sum of its proper divisors (129304800).

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

76849728 is a wasteful number, since it uses less digits than its factorization.

76849728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 5561 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 76849728 is about 8766.3976638070. The cubic root of 76849728 is about 425.1551507355.

It can be divided in two parts, 76849 and 728, that added together give a palindrome (77577).

The spelling of 76849728 in words is "seventy-six million, eight hundred forty-nine thousand, seven hundred twenty-eight".