78385536 has 128 divisors (see below), whose sum is σ = 237986400. Its totient is φ = 25380864.

The previous prime is 78385477. The next prime is 78385537. The reversal of 78385536 is 63558387.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×78385536² = 12288584508014592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78385491 and 78385500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78385537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127566 + ... + 128178.

Almost surely, 2^78385536 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 78385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118993200).

78385536 is an abundant number, since it is smaller than the sum of its proper divisors (159600864).

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

78385536 is a wasteful number, since it uses less digits than its factorization.

78385536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 655 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 78385536 is about 8853.5606396523. The cubic root of 78385536 is about 427.9686703710.

The spelling of 78385536 in words is "seventy-eight million, three hundred eighty-five thousand, five hundred thirty-six".