78295142400 has 312 divisors, whose sum is σ = 260071982304. Its totient is φ = 20781465600.

The previous prime is 78295142399. The next prime is 78295142437. The reversal of 78295142400 is 424159287.

It is a super-2 number, since 2×78295142400² (a number of 23 digits) contains 22 as substring.

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, 86322747 + ... + 86323653.

Almost surely, 2^78295142400 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 78295142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130035991152).

78295142400 is an abundant number, since it is smaller than the sum of its proper divisors (181776839904).

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

78295142400 is a wasteful number, since it uses less digits than its factorization.

78295142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 78295142400 in words is "seventy-eight billion, two hundred ninety-five million, one hundred forty-two thousand, four hundred".