7801251312 has 160 divisors (see below), whose sum is σ = 21782891520. Its totient is φ = 2397081600.

The previous prime is 7801251247. The next prime is 7801251319. The reversal of 7801251312 is 2131521087.

It is a self number, because there is not a number n which added to its sum of digits gives 7801251312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7801251319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8488389 + ... + 8489307.

It is an arithmetic number, because the mean of its divisors is an integer number (136143072).

Almost surely, 2^7801251312 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 7801251312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10891445760).

7801251312 is an abundant number, since it is smaller than the sum of its proper divisors (13981640208).

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

7801251312 is a wasteful number, since it uses less digits than its factorization.

7801251312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 7801251312 is about 88324.6925383836. The cubic root of 7801251312 is about 1983.2985279740.

Adding to 7801251312 its reverse (2131521087), we get a palindrome (9932772399).

The spelling of 7801251312 in words is "seven billion, eight hundred one million, two hundred fifty-one thousand, three hundred twelve".