77728104 has 48 divisors (see below), whose sum is σ = 214496100. Its totient is φ = 25419264.

The previous prime is 77728073. The next prime is 77728111. The reversal of 77728104 is 40182777.

It can be written as a sum of positive squares in 2 ways, for example, as 73925604 + 3802500 = 8598^2 + 1950^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6369 + ... + 14000.

Almost surely, 2^77728104 is an apocalyptic number.

It is an amenable number.

77728104 is an abundant number, since it is smaller than the sum of its proper divisors (136767996).

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

77728104 is a wasteful number, since it uses less digits than its factorization.

77728104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20434 (or 20427 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 77728104 is about 8816.3543485956. The cubic root of 77728104 is about 426.7688291601.

It can be divided in two parts, 7772 and 8104, that added together give a square (15876 = 126²).

The spelling of 77728104 in words is "seventy-seven million, seven hundred twenty-eight thousand, one hundred four".