78826383360 has 768 divisors, whose sum is σ = 306822297600. Its totient is φ = 19110297600.

The previous prime is 78826383313. The next prime is 78826383439. The reversal of 78826383360 is 6338362887.

78826383360 is a `hidden beast` number, since 78 + 82 + 63 + 83 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78826383297 and 78826383306.

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 63 ways as a sum of consecutive naturals, for example, 145704690 + ... + 145705230.

It is an arithmetic number, because the mean of its divisors is an integer number (399508200).

Almost surely, 2^78826383360 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 78826383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153411148800).

78826383360 is an abundant number, since it is smaller than the sum of its proper divisors (227995914240).

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

78826383360 is a wasteful number, since it uses less digits than its factorization.

78826383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 78826383360 in words is "seventy-eight billion, eight hundred twenty-six million, three hundred eighty-three thousand, three hundred sixty".