78493536 has 120 divisors (see below), whose sum is σ = 251924904. Its totient is φ = 23777280.

The previous prime is 78493511. The next prime is 78493537. The reversal of 78493536 is 63539487.

78493536 is a `hidden beast` number, since 78 + 49 + 3 + 536 = 666.

It is a super-2 number, since 2×78493536² = 12322470387566592, which contains 22 as substring.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 78493491 and 78493500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78493537) 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, 27136 + ... + 29888.

Almost surely, 2^78493536 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 78493536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125962452).

78493536 is an abundant number, since it is smaller than the sum of its proper divisors (173431368).

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

78493536 is a wasteful number, since it uses less digits than its factorization.

78493536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2769 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 78493536 is about 8859.6577812013. The cubic root of 78493536 is about 428.1651326578.

The spelling of 78493536 in words is "seventy-eight million, four hundred ninety-three thousand, five hundred thirty-six".