7780362240 has 384 divisors, whose sum is σ = 28817268480. Its totient is φ = 1755316224.

The previous prime is 7780362229. The next prime is 7780362241. The reversal of 7780362240 is 422630877.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (7780362241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20858694 + ... + 20859066.

It is an arithmetic number, because the mean of its divisors is an integer number (75044970).

Almost surely, 2^7780362240 is an apocalyptic number.

7780362240 is a gapful number since it is divisible by the number (70) 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 7780362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14408634240).

7780362240 is an abundant number, since it is smaller than the sum of its proper divisors (21036906240).

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

7780362240 is a wasteful number, since it uses less digits than its factorization.

7780362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 7780362240 is about 88206.3616753350. The cubic root of 7780362240 is about 1981.5267481668.

The spelling of 7780362240 in words is "seven billion, seven hundred eighty million, three hundred sixty-two thousand, two hundred forty".