7823704900 has 144 divisors (see below), whose sum is σ = 18848793600. Its totient is φ = 2795126400.

The previous prime is 7823704897. The next prime is 7823704939. The reversal of 7823704900 is 94073287.

It is a super-2 number, since 2×7823704900² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22546527 + ... + 22546873.

It is an arithmetic number, because the mean of its divisors is an integer number (130894400).

Almost surely, 2^7823704900 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 7823704900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424396800).

7823704900 is an abundant number, since it is smaller than the sum of its proper divisors (11025088700).

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

7823704900 is a wasteful number, since it uses less digits than its factorization.

7823704900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 7823704900 is about 88451.7094238432. The cubic root of 7823704900 is about 1985.1994842104.

The spelling of 7823704900 in words is "seven billion, eight hundred twenty-three million, seven hundred four thousand, nine hundred".