7830028800 has 720 divisors, whose sum is σ = 31583103552. Its totient is φ = 1835827200.

The previous prime is 7830028781. The next prime is 7830028841. The reversal of 7830028800 is 88200387.

7830028800 is a `hidden beast` number, since 78 + 300 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×7830028800² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 46886317 + ... + 46886483.

Almost surely, 2^7830028800 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 7830028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15791551776).

7830028800 is an abundant number, since it is smaller than the sum of its proper divisors (23753074752).

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

7830028800 is a wasteful number, since it uses less digits than its factorization.

7830028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7830028800 is about 88487.4499576070. The cubic root of 7830028800 is about 1985.7342190186.

The spelling of 7830028800 in words is "seven billion, eight hundred thirty million, twenty-eight thousand, eight hundred".