7808274048 has 384 divisors, whose sum is σ = 23876812800. Its totient is φ = 2253588480.

The previous prime is 7808274031. The next prime is 7808274083. The reversal of 7808274048 is 8404728087.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7808273988 and 7808274006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98838873 + ... + 98838951.

It is an arithmetic number, because the mean of its divisors is an integer number (62179200).

Almost surely, 2^7808274048 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 7808274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11938406400).

7808274048 is an abundant number, since it is smaller than the sum of its proper divisors (16068538752).

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

7808274048 is a wasteful number, since it uses less digits than its factorization.

7808274048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The square root of 7808274048 is about 88364.4388201498. The cubic root of 7808274048 is about 1983.8934754634.

The spelling of 7808274048 in words is "seven billion, eight hundred eight million, two hundred seventy-four thousand, forty-eight".