7830451200 has 1056 divisors, whose sum is σ = 32749903872. Its totient is φ = 1622016000.

The previous prime is 7830451129. The next prime is 7830451201. The reversal of 7830451200 is 21540387.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×7830451200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7830451201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252595185 + ... + 252595215.

Almost surely, 2^7830451200 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 7830451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374951936).

7830451200 is an abundant number, since it is smaller than the sum of its proper divisors (24919452672).

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

7830451200 is a wasteful number, since it uses less digits than its factorization.

7830451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7830451200 is about 88489.8367045617. The cubic root of 7830451200 is about 1985.7699259563.

Adding to 7830451200 its reverse (21540387), we get a palindrome (7851991587).

The spelling of 7830451200 in words is "seven billion, eight hundred thirty million, four hundred fifty-one thousand, two hundred".