78368472000 has 1344 divisors, whose sum is σ = 358616853504. Its totient is φ = 16497561600.

The previous prime is 78368471971. The next prime is 78368472001. The reversal of 78368472000 is 27486387.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×78368472000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78368472001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176903779 + ... + 176904221.

It is an arithmetic number, because the mean of its divisors is an integer number (266828016).

Almost surely, 2^78368472000 is an apocalyptic number.

78368472000 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 78368472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179308426752).

78368472000 is an abundant number, since it is smaller than the sum of its proper divisors (280248381504).

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

78368472000 is a wasteful number, since it uses less digits than its factorization.

78368472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 78368472000 in words is "seventy-eight billion, three hundred sixty-eight million, four hundred seventy-two thousand".