7802408640 has 224 divisors, whose sum is σ = 26813719296. Its totient is φ = 1910845440.

The previous prime is 7802408629. The next prime is 7802408641. The reversal of 7802408640 is 468042087.

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 (7802408641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2631799 + ... + 2634761.

It is an arithmetic number, because the mean of its divisors is an integer number (119704104).

Almost surely, 2^7802408640 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 7802408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406859648).

7802408640 is an abundant number, since it is smaller than the sum of its proper divisors (19011310656).

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

7802408640 is a wasteful number, since it uses less digits than its factorization.

7802408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 7802408640 is about 88331.2438495010. The cubic root of 7802408640 is about 1983.3965982848.

The spelling of 7802408640 in words is "seven billion, eight hundred two million, four hundred eight thousand, six hundred forty".