7825830800 has 60 divisors (see below), whose sum is σ = 19120286640. Its totient is φ = 3077266560.

The previous prime is 7825830781. The next prime is 7825830809. The reversal of 7825830800 is 80385287.

It is a super-2 number, since 2×7825830800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7825830809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142202 + ... + 189401.

It is an arithmetic number, because the mean of its divisors is an integer number (318671444).

Almost surely, 2^7825830800 is an apocalyptic number.

It is an amenable number.

7825830800 is an abundant number, since it is smaller than the sum of its proper divisors (11294455840).

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

7825830800 is a wasteful number, since it uses less digits than its factorization.

7825830800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331680 (or 331669 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 7825830800 is about 88463.7258993764. The cubic root of 7825830800 is about 1985.3792776901.

The spelling of 7825830800 in words is "seven billion, eight hundred twenty-five million, eight hundred thirty thousand, eight hundred".