78305136 has 180 divisors, whose sum is σ = 256101912. Its totient is φ = 20547072.

The previous prime is 78305113. The next prime is 78305147. The reversal of 78305136 is 63150387.

It is a happy number.

It is a super-2 number, since 2×78305136² = 12263388647956992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78305097 and 78305106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 397390 + ... + 397586.

Almost surely, 2^78305136 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 78305136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128050956).

78305136 is an abundant number, since it is smaller than the sum of its proper divisors (177796776).

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

78305136 is a wasteful number, since it uses less digits than its factorization.

78305136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 78305136 is about 8849.0189286723. The cubic root of 78305136 is about 427.8222979071.

The spelling of 78305136 in words is "seventy-eight million, three hundred five thousand, one hundred thirty-six".