7819864900 has 81 divisors (see below), whose sum is σ = 17513403159. Its totient is φ = 3030672960.

The previous prime is 7819864883. The next prime is 7819864907. The reversal of 7819864900 is 94689187.

It is a happy number.

The square root of 7819864900 is 88430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 742344516 + 7077520384 = 27246^2 + 84128^2 .

It is a super-2 number, since 2×7819864900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7819864907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32718981 + ... + 32719219.

Almost surely, 2^7819864900 is an apocalyptic number.

7819864900 is the 88430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7819864900

7819864900 is an abundant number, since it is smaller than the sum of its proper divisors (9693538259).

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

7819864900 is a wasteful number, since it uses less digits than its factorization.

7819864900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The cubic root of 7819864900 is about 1984.8746417968.

The spelling of 7819864900 in words is "seven billion, eight hundred nineteen million, eight hundred sixty-four thousand, nine hundred".