77728448 has 28 divisors (see below), whose sum is σ = 176278032. Its totient is φ = 33312000.

The previous prime is 77728397. The next prime is 77728513. The reversal of 77728448 is 84482777.

It is a tau number, because it is divible by the number of its divisors (28).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86303 + ... + 87198.

It is an arithmetic number, because the mean of its divisors is an integer number (6295644).

Almost surely, 2^77728448 is an apocalyptic number.

It is an amenable number.

77728448 is an abundant number, since it is smaller than the sum of its proper divisors (98549584).

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

77728448 is a wasteful number, since it uses less digits than its factorization.

77728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173520 (or 173510 counting only the distinct ones).

The product of its digits is 702464, while the sum is 47.

The square root of 77728448 is about 8816.3738577717. The cubic root of 77728448 is about 426.7694587404.

The spelling of 77728448 in words is "seventy-seven million, seven hundred twenty-eight thousand, four hundred forty-eight".