77728359200 has 54 divisors (see below), whose sum is σ = 189773609571. Its totient is φ = 31088189440.

The previous prime is 77728359193. The next prime is 77728359283. The reversal of 77728359200 is 295382777.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 18564607504 + 59163751696 = 136252^2 + 243236^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=197140.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7880672 + ... + 7890528.

Almost surely, 2^77728359200 is an apocalyptic number.

It is an amenable number.

77728359200 is an abundant number, since it is smaller than the sum of its proper divisors (112045250371).

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

77728359200 is an frugal number, since it uses more digits than its factorization.

77728359200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19734 (or 9864 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 50.

Multiplying 77728359200 by its sum of digits (50), we get a square (3886417960000 = 1971400²).

77728359200 divided by its sum of digits (50) gives a square (1554567184 = 39428²).

The spelling of 77728359200 in words is "seventy-seven billion, seven hundred twenty-eight million, three hundred fifty-nine thousand, two hundred".