7780240000 has 160 divisors (see below), whose sum is σ = 20861087940. Its totient is φ = 2872320000.

The previous prime is 7780239997. The next prime is 7780240079. The reversal of 7780240000 is 420877.

It can be written as a sum of positive squares in 10 ways, for example, as 563397696 + 7216842304 = 23736^2 + 84952^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1036260 + ... + 1043740.

Almost surely, 2^7780240000 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 7780240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10430543970).

7780240000 is an abundant number, since it is smaller than the sum of its proper divisors (13080847940).

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

7780240000 is an equidigital number, since it uses as much as digits as its factorization.

7780240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7528 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 7780240000 is about 88205.6687520706. The cubic root of 7780240000 is about 1981.5163706252.

Adding to 7780240000 its reverse (420877), we get a palindrome (7780660877).

The spelling of 7780240000 in words is "seven billion, seven hundred eighty million, two hundred forty thousand".