7881256460 has 96 divisors (see below), whose sum is σ = 20896081920. Its totient is φ = 2425363200.

The previous prime is 7881256433. The next prime is 7881256463. The reversal of 7881256460 is 646521887.

It is a super-2 number, since 2×7881256460² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7881256463) 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, 89270 + ... + 154050.

It is an arithmetic number, because the mean of its divisors is an integer number (217667520).

Almost surely, 2^7881256460 is an apocalyptic number.

7881256460 is a gapful number since it is divisible by the number (70) 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 7881256460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10448040960).

7881256460 is an abundant number, since it is smaller than the sum of its proper divisors (13014825460).

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

7881256460 is a wasteful number, since it uses less digits than its factorization.

7881256460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64887 (or 64885 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 7881256460 is about 88776.4409063576. The cubic root of 7881256460 is about 1990.0553388145.

The spelling of 7881256460 in words is "seven billion, eight hundred eighty-one million, two hundred fifty-six thousand, four hundred sixty".