78205456290 has 128 divisors (see below), whose sum is σ = 211097456640. Its totient is φ = 18398045952.

The previous prime is 78205456253. The next prime is 78205456309. The reversal of 78205456290 is 9265450287.

It is a super-2 number, since 2×78205456290² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13299571 + ... + 13305449.

It is an arithmetic number, because the mean of its divisors is an integer number (1649198880).

Almost surely, 2^78205456290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78205456290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105548728320).

78205456290 is an abundant number, since it is smaller than the sum of its proper divisors (132892000350).

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

78205456290 is a wasteful number, since it uses less digits than its factorization.

78205456290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7408.

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 78205456290 in words is "seventy-eight billion, two hundred five million, four hundred fifty-six thousand, two hundred ninety".