78246144000 has 288 divisors, whose sum is σ = 282042862920. Its totient is φ = 20865024000.

The previous prime is 78246143999. The next prime is 78246144007. The reversal of 78246144000 is 44164287.

78246144000 is a `hidden beast` number, since 7 + 8 + 246 + 1 + 4 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6456443904 + 71789700096 = 80352^2 + 267936^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78246144000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78246144007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2287020 + ... + 2320980.

Almost surely, 2^78246144000 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 78246144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141021431460).

78246144000 is an abundant number, since it is smaller than the sum of its proper divisors (203796718920).

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

78246144000 is a wasteful number, since it uses less digits than its factorization.

78246144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34004 (or 33971 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 78246144000 in words is "seventy-eight billion, two hundred forty-six million, one hundred forty-four thousand".