78375312400 has 240 divisors, whose sum is σ = 235832905728. Its totient is φ = 24316992000.

The previous prime is 78375312397. The next prime is 78375312439. The reversal of 78375312400 is 421357387.

It is a happy number.

It is a super-2 number, since 2×78375312400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6862695 + ... + 6874105.

Almost surely, 2^78375312400 is an apocalyptic number.

78375312400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78375312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117916452864).

78375312400 is an abundant number, since it is smaller than the sum of its proper divisors (157457593328).

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

78375312400 is a wasteful number, since it uses less digits than its factorization.

78375312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11670 (or 11659 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

Adding to 78375312400 its reverse (421357387), we get a palindrome (78796669787).

The spelling of 78375312400 in words is "seventy-eight billion, three hundred seventy-five million, three hundred twelve thousand, four hundred".