78370130400 has 144 divisors (see below), whose sum is σ = 255275411328. Its totient is φ = 20883904000.

The previous prime is 78370130387. The next prime is 78370130411. The reversal of 78370130400 is 403107387.

It is a super-2 number, since 2×78370130400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3615595 + ... + 3637205.

It is an arithmetic number, because the mean of its divisors is an integer number (1772745912).

Almost surely, 2^78370130400 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 78370130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127637705664).

78370130400 is an abundant number, since it is smaller than the sum of its proper divisors (176905280928).

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

78370130400 is a wasteful number, since it uses less digits than its factorization.

78370130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23145 (or 23132 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 78370130400 its reverse (403107387), we get a palindrome (78773237787).

The spelling of 78370130400 in words is "seventy-eight billion, three hundred seventy million, one hundred thirty thousand, four hundred".