78031641600 has 990 divisors, whose sum is σ = 318618612312. Its totient is φ = 18855936000.

The previous prime is 78031641593. The next prime is 78031641601. The reversal of 78031641600 is 614613087.

78031641600 is a `hidden beast` number, since 7 + 8 + 0 + 3 + 1 + 6 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (990).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78031641601) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 250905445 + ... + 250905755.

Almost surely, 2^78031641600 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 78031641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159309306156).

78031641600 is an abundant number, since it is smaller than the sum of its proper divisors (240586970712).

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

78031641600 is a wasteful number, since it uses less digits than its factorization.

78031641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 78031641600 in words is "seventy-eight billion, thirty-one million, six hundred forty-one thousand, six hundred".