7801054248 has 256 divisors, whose sum is σ = 23092715520. Its totient is φ = 2173796352.

The previous prime is 7801054223. The next prime is 7801054267. The reversal of 7801054248 is 8424501087.

It is a happy number.

It is a super-3 number, since 3×7801054248³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24923340 + ... + 24923652.

It is an arithmetic number, because the mean of its divisors is an integer number (90205920).

Almost surely, 2^7801054248 is an apocalyptic number.

7801054248 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 7801054248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11546357760).

7801054248 is an abundant number, since it is smaller than the sum of its proper divisors (15291661272).

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

7801054248 is a wasteful number, since it uses less digits than its factorization.

7801054248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 7801054248 is about 88323.5769656098. The cubic root of 7801054248 is about 1983.2818280876.

The spelling of 7801054248 in words is "seven billion, eight hundred one million, fifty-four thousand, two hundred forty-eight".