7830876032 has 128 divisors (see below), whose sum is σ = 18671385600. Its totient is φ = 3200440320.

The previous prime is 7830876029. The next prime is 7830876083. The reversal of 7830876032 is 2306780387.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7830876032² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2154857 + ... + 2158487.

It is an arithmetic number, because the mean of its divisors is an integer number (145870200).

Almost surely, 2^7830876032 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 7830876032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9335692800).

7830876032 is an abundant number, since it is smaller than the sum of its proper divisors (10840509568).

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

7830876032 is a wasteful number, since it uses less digits than its factorization.

7830876032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 7830876032 is about 88492.2371284623. The cubic root of 7830876032 is about 1985.8058371842.

The spelling of 7830876032 in words is "seven billion, eight hundred thirty million, eight hundred seventy-six thousand, thirty-two".