78535080 has 192 divisors, whose sum is σ = 279311760. Its totient is φ = 19021824.

The previous prime is 78535063. The next prime is 78535091. The reversal of 78535080 is 8053587.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35212356 + 43322724 = 5934^2 + 6582^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 453874 + ... + 454046.

Almost surely, 2^78535080 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 78535080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139655880).

78535080 is an abundant number, since it is smaller than the sum of its proper divisors (200776680).

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

78535080 is a wasteful number, since it uses less digits than its factorization.

78535080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 78535080 is about 8862.0020311440. The cubic root of 78535080 is about 428.2406571573.

Subtracting from 78535080 its sum of digits (36), we obtain a square (78535044 = 8862²).

The spelling of 78535080 in words is "seventy-eight million, five hundred thirty-five thousand, eighty".