78738 has 16 divisors (see below), whose sum is σ = 171936. Its totient is φ = 23840.

The previous prime is 78737. The next prime is 78779. The reversal of 78738 is 83787.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 78699 and 78708.

It is not an unprimeable number, because it can be changed into a prime (78737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531 + ... + 662.

It is an arithmetic number, because the mean of its divisors is an integer number (10746).

2⁷⁸⁷³⁸ is an apocalyptic number.

78738 is an abundant number, since it is smaller than the sum of its proper divisors (93198).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85968).

78738 is a wasteful number, since it uses less digits than its factorization.

78738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209.

The product of its digits is 9408, while the sum is 33.

The square root of 78738 is about 280.6029222941. The cubic root of 78738 is about 42.8609171279.

The spelling of 78738 in words is "seventy-eight thousand, seven hundred thirty-eight".