7779704064 has 144 divisors (see below), whose sum is σ = 23199072960. Its totient is φ = 2293678080.

The previous prime is 7779704059. The next prime is 7779704083. The reversal of 7779704064 is 4604079777.

It is a junction number, because it is equal to n+sod(n) for n = 7779703998 and 7779704016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300132 + ... + 325020.

Almost surely, 2^7779704064 is an apocalyptic number.

7779704064 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7779704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11599536480).

7779704064 is an abundant number, since it is smaller than the sum of its proper divisors (15419368896).

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

7779704064 is a wasteful number, since it uses less digits than its factorization.

7779704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24956 (or 24942 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 51.

The square root of 7779704064 is about 88202.6307090667. The cubic root of 7779704064 is about 1981.4708711572.

The spelling of 7779704064 in words is "seven billion, seven hundred seventy-nine million, seven hundred four thousand, sixty-four".