78893136 has 120 divisors (see below), whose sum is σ = 263495040. Its totient is φ = 22534848.

The previous prime is 78893131. The next prime is 78893147. The reversal of 78893136 is 63139887.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 78893091 and 78893100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78893131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19305 + ... + 23031.

It is an arithmetic number, because the mean of its divisors is an integer number (2195792).

Almost surely, 2^78893136 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 78893136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131747520).

78893136 is an abundant number, since it is smaller than the sum of its proper divisors (184601904).

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

78893136 is a wasteful number, since it uses less digits than its factorization.

78893136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3739 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 78893136 is about 8882.1808132913. The cubic root of 78893136 is about 428.8904801362.

It can be divided in two parts, 7889 and 3136, that added together give a square (11025 = 105²).

The spelling of 78893136 in words is "seventy-eight million, eight hundred ninety-three thousand, one hundred thirty-six".