7813000032 has 96 divisors (see below), whose sum is σ = 21618777600. Its totient is φ = 2463810048.

The previous prime is 7813000003. The next prime is 7813000033. The reversal of 7813000032 is 2300003187.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7813000032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 7812999966 and 7813000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7813000033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1509513 + ... + 1514679.

It is an arithmetic number, because the mean of its divisors is an integer number (225195600).

Almost surely, 2^7813000032 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 7813000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10809388800).

7813000032 is an abundant number, since it is smaller than the sum of its proper divisors (13805777568).

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

7813000032 is a wasteful number, since it uses less digits than its factorization.

7813000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6028 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7813000032 is about 88391.1762112033. The cubic root of 7813000032 is about 1984.2936474610.

The spelling of 7813000032 in words is "seven billion, eight hundred thirteen million, thirty-two", and thus it is an aban number.