78533064 has 80 divisors (see below), whose sum is σ = 232937100. Its totient is φ = 24634368.

The previous prime is 78533041. The next prime is 78533069. The reversal of 78533064 is 46033587.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 74960964 + 3572100 = 8658^2 + 1890^2 .

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

It is not an unprimeable number, because it can be changed into a prime (78533069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7452 + ... + 14580.

Almost surely, 2^78533064 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 78533064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116468550).

78533064 is an abundant number, since it is smaller than the sum of its proper divisors (154404036).

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

78533064 is a wasteful number, since it uses less digits than its factorization.

78533064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164 (or 7151 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 78533064 is about 8861.8882863643. Note that the first 3 decimals coincide. The cubic root of 78533064 is about 428.2369928052.

The spelling of 78533064 in words is "seventy-eight million, five hundred thirty-three thousand, sixty-four".