76778728 has 48 divisors (see below), whose sum is σ = 157617900. Its totient is φ = 35043840.

The previous prime is 76778711. The next prime is 76778743. The reversal of 76778728 is 82787767.

It can be written as a sum of positive squares in 6 ways, for example, as 10876804 + 65901924 = 3298^2 + 8118^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 147108 + ... + 147628.

Almost surely, 2^76778728 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 76778728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78808950).

76778728 is an abundant number, since it is smaller than the sum of its proper divisors (80839172).

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

76778728 is a wasteful number, since it uses less digits than its factorization.

76778728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 645 counting only the distinct ones).

The product of its digits is 1843968, while the sum is 52.

The square root of 76778728 is about 8762.3471741309. The cubic root of 76778728 is about 425.0241794779.

The spelling of 76778728 in words is "seventy-six million, seven hundred seventy-eight thousand, seven hundred twenty-eight".