78339936 has 96 divisors (see below), whose sum is σ = 213101280. Its totient is φ = 25186304.

The previous prime is 78339931. The next prime is 78339949. The reversal of 78339936 is 63993387.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×78339936² = 12274291144968192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78339931) 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, 452746 + ... + 452918.

It is an arithmetic number, because the mean of its divisors is an integer number (2219805).

Almost surely, 2^78339936 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 78339936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106550640).

78339936 is an abundant number, since it is smaller than the sum of its proper divisors (134761344).

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

78339936 is a wasteful number, since it uses less digits than its factorization.

78339936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 78339936 is about 8850.9850299275. The cubic root of 78339936 is about 427.8856654448.

The spelling of 78339936 in words is "seventy-eight million, three hundred thirty-nine thousand, nine hundred thirty-six".