7834045600 has 72 divisors (see below), whose sum is σ = 19155953628. Its totient is φ = 3128524800.

The previous prime is 7834045577. The next prime is 7834045633. The reversal of 7834045600 is 65404387.

It can be written as a sum of positive squares in 6 ways, for example, as 2706912784 + 5127132816 = 52028^2 + 71604^2 .

It is a super-2 number, since 2×7834045600² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7834045600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505162 + ... + 520438.

Almost surely, 2^7834045600 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 7834045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9577976814).

7834045600 is an abundant number, since it is smaller than the sum of its proper divisors (11321908028).

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

7834045600 is a wasteful number, since it uses less digits than its factorization.

7834045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15938 (or 15925 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 7834045600 is about 88510.1440514024. The cubic root of 7834045600 is about 1986.0737211182.

Adding to 7834045600 its reverse (65404387), we get a palindrome (7899449987).

The spelling of 7834045600 in words is "seven billion, eight hundred thirty-four million, forty-five thousand, six hundred".