7801345600 has 84 divisors (see below), whose sum is σ = 19558590804. Its totient is φ = 3061626880.

The previous prime is 7801345553. The next prime is 7801345609. The reversal of 7801345600 is 65431087.

It can be written as a sum of positive squares in 6 ways, for example, as 5161984 + 7796183616 = 2272^2 + 88296^2 .

It is not an unprimeable number, because it can be changed into a prime (7801345609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38802 + ... + 130798.

Almost surely, 2^7801345600 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 7801345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779295402).

7801345600 is an abundant number, since it is smaller than the sum of its proper divisors (11757245204).

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

7801345600 is a wasteful number, since it uses less digits than its factorization.

7801345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92072 (or 92057 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 7801345600 is about 88325.2262946436. The cubic root of 7801345600 is about 1983.3065181664.

Adding to 7801345600 its reverse (65431087), we get a palindrome (7866776687).

The spelling of 7801345600 in words is "seven billion, eight hundred one million, three hundred forty-five thousand, six hundred".