78024483840 has 352 divisors, whose sum is σ = 270420163200. Its totient is φ = 19124453376.

The previous prime is 78024483793. The next prime is 78024483851. The reversal of 78024483840 is 4838442087.

It is a happy number.

It is a super-2 number, since 2×78024483840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78024483840.

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 31 ways as a sum of consecutive naturals, for example, 11224686 + ... + 11231634.

It is an arithmetic number, because the mean of its divisors is an integer number (768239100).

Almost surely, 2^78024483840 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 78024483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135210081600).

78024483840 is an abundant number, since it is smaller than the sum of its proper divisors (192395679360).

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

78024483840 is a wasteful number, since it uses less digits than its factorization.

78024483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 78024483840 in words is "seventy-eight billion, twenty-four million, four hundred eighty-three thousand, eight hundred forty".