7830811872 has 288 divisors, whose sum is σ = 24797380608. Its totient is φ = 2328818688.

The previous prime is 7830811853. The next prime is 7830811969. The reversal of 7830811872 is 2781180387.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7830811872² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 20445793 + ... + 20446175.

It is an arithmetic number, because the mean of its divisors is an integer number (86102016).

Almost surely, 2^7830811872 is an apocalyptic number.

7830811872 is a gapful number since it is divisible by the number (72) 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 7830811872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398690304).

7830811872 is an abundant number, since it is smaller than the sum of its proper divisors (16966568736).

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

7830811872 is a wasteful number, since it uses less digits than its factorization.

7830811872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 7830811872 is about 88491.8746100454. The cubic root of 7830811872 is about 1985.8004137956.

The spelling of 7830811872 in words is "seven billion, eight hundred thirty million, eight hundred eleven thousand, eight hundred seventy-two".