7898083200 has 576 divisors, whose sum is σ = 33424110720. Its totient is φ = 1804032000.

The previous prime is 7898083169. The next prime is 7898083411. The reversal of 7898083200 is 23808987.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5442475 + ... + 5443925.

It is an arithmetic number, because the mean of its divisors is an integer number (58027970).

Almost surely, 2^7898083200 is an apocalyptic number.

7898083200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7898083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16712055360).

7898083200 is an abundant number, since it is smaller than the sum of its proper divisors (25526027520).

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

7898083200 is a wasteful number, since it uses less digits than its factorization.

7898083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7898083200 is about 88871.1606765659. The cubic root of 7898083200 is about 1991.4706097945.

The spelling of 7898083200 in words is "seven billion, eight hundred ninety-eight million, eighty-three thousand, two hundred".