7777828864 has 135 divisors (see below), whose sum is σ = 17167581543. Its totient is φ = 3522035712.

The previous prime is 7777828853. The next prime is 7777828889. The reversal of 7777828864 is 4688287777.

The square root of 7777828864 is 88192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 201867264 + 7575961600 = 14208^2 + 87040^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7777828796 and 7777828805.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 146751462 + ... + 146751514.

Almost surely, 2^7777828864 is an apocalyptic number.

7777828864 is the 88192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7777828864

7777828864 is an abundant number, since it is smaller than the sum of its proper divisors (9389752679).

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

7777828864 is an frugal number, since it uses more digits than its factorization.

7777828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 68 counting only the distinct ones).

The product of its digits is 59006976, while the sum is 64.

The cubic root of 7777828864 is about 1981.3116554713.

Multiplying 7777828864 by its sum of digits (64), we get a square (497781047296 = 705536²).

7777828864 divided by its sum of digits (64) gives a square (121528576 = 11024²).

The spelling of 7777828864 in words is "seven billion, seven hundred seventy-seven million, eight hundred twenty-eight thousand, eight hundred sixty-four".