7802265600 has 672 divisors, whose sum is σ = 30716159040. Its totient is φ = 1934622720.

The previous prime is 7802265593. The next prime is 7802265607. The reversal of 7802265600 is 65622087.

7802265600 is a `hidden beast` number, since 78 + 0 + 2 + 26 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7802265593) and next prime (7802265607).

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

It is not an unprimeable number, because it can be changed into a prime (7802265607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94003159 + ... + 94003241.

It is an arithmetic number, because the mean of its divisors is an integer number (45708570).

Almost surely, 2^7802265600 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 7802265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15358079520).

7802265600 is an abundant number, since it is smaller than the sum of its proper divisors (22913893440).

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

7802265600 is a wasteful number, since it uses less digits than its factorization.

7802265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7802265600 is about 88330.4341662600. The cubic root of 7802265600 is about 1983.3844778061.

Adding to 7802265600 its reverse (65622087), we get a palindrome (7867887687).

The spelling of 7802265600 in words is "seven billion, eight hundred two million, two hundred sixty-five thousand, six hundred".