78001822080 has 768 divisors, whose sum is σ = 338384592000. Its totient is φ = 16452108288.

The previous prime is 78001822069. The next prime is 78001822111. The reversal of 78001822080 is 8022810087.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25682322 + ... + 25685358.

Almost surely, 2^78001822080 is an apocalyptic number.

78001822080 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 78001822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169192296000).

78001822080 is an abundant number, since it is smaller than the sum of its proper divisors (260382769920).

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

78001822080 is a wasteful number, since it uses less digits than its factorization.

78001822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 78001822080 in words is "seventy-eight billion, one million, eight hundred twenty-two thousand, eighty".