7782120840 has 256 divisors, whose sum is σ = 26541043200. Its totient is φ = 1810980864.

The previous prime is 7782120763. The next prime is 7782120847. The reversal of 7782120840 is 480212877.

It is a super-2 number, since 2×7782120840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (7782120847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3192102 + ... + 3194538.

It is an arithmetic number, because the mean of its divisors is an integer number (103675950).

Almost surely, 2^7782120840 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 7782120840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13270521600).

7782120840 is an abundant number, since it is smaller than the sum of its proper divisors (18758922360).

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

7782120840 is a wasteful number, since it uses less digits than its factorization.

7782120840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 7782120840 is about 88216.3297808291. The cubic root of 7782120840 is about 1981.6760321510.

The spelling of 7782120840 in words is "seven billion, seven hundred eighty-two million, one hundred twenty thousand, eight hundred forty".