7809049248 has 864 divisors, whose sum is σ = 30281610240. Its totient is φ = 1736017920.

The previous prime is 7809049247. The next prime is 7809049277. The reversal of 7809049248 is 8429409087.

It is a self number, because there is not a number n which added to its sum of digits gives 7809049248.

It is not an unprimeable number, because it can be changed into a prime (7809049243) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 166149961 + ... + 166150007.

It is an arithmetic number, because the mean of its divisors is an integer number (35048160).

Almost surely, 2^7809049248 is an apocalyptic number.

7809049248 is a gapful number since it is divisible by the number (78) 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 7809049248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15140805120).

7809049248 is an abundant number, since it is smaller than the sum of its proper divisors (22472560992).

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

7809049248 is a wasteful number, since it uses less digits than its factorization.

7809049248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 7809049248 is about 88368.8250912051. The cubic root of 7809049248 is about 1983.9591264776.

The spelling of 7809049248 in words is "seven billion, eight hundred nine million, forty-nine thousand, two hundred forty-eight".