77425728 has 112 divisors (see below), whose sum is σ = 217261440. Its totient is φ = 24285184.

The previous prime is 77425721. The next prime is 77425729. The reversal of 77425728 is 82752477.

It is a self number, because there is not a number n which added to its sum of digits gives 77425728.

It is not an unprimeable number, because it can be changed into a prime (77425721) 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 15 ways as a sum of consecutive naturals, for example, 392926 + ... + 393122.

Almost surely, 2^77425728 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 77425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108630720).

77425728 is an abundant number, since it is smaller than the sum of its proper divisors (139835712).

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

77425728 is a wasteful number, since it uses less digits than its factorization.

77425728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its digits is 219520, while the sum is 42.

The square root of 77425728 is about 8799.1890535435. The cubic root of 77425728 is about 426.2147080512.

The spelling of 77425728 in words is "seventy-seven million, four hundred twenty-five thousand, seven hundred twenty-eight".