7780808052 has 96 divisors (see below), whose sum is σ = 20428531200. Its totient is φ = 2560813056.

The previous prime is 7780808027. The next prime is 7780808129. The reversal of 7780808052 is 2508080877.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7780807989 and 7780808007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7531728 + ... + 7532760.

It is an arithmetic number, because the mean of its divisors is an integer number (212797200).

Almost surely, 2^7780808052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7780808052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10214265600).

7780808052 is an abundant number, since it is smaller than the sum of its proper divisors (12647723148).

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

7780808052 is a wasteful number, since it uses less digits than its factorization.

7780808052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 7780808052 is about 88208.8887357731. Note that the first 3 decimals coincide. The cubic root of 7780808052 is about 1981.5645943708.

The spelling of 7780808052 in words is "seven billion, seven hundred eighty million, eight hundred eight thousand, fifty-two".