32778864 has 80 divisors (see below), whose sum is σ = 98208000. Its totient is φ = 10448064.

The previous prime is 32778859. The next prime is 32778869. The reversal of 32778864 is 46887723.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32778859) and next prime (32778869).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32778869) 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, 8287 + ... + 11585.

It is an arithmetic number, because the mean of its divisors is an integer number (1227600).

Almost surely, 2^32778864 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 32778864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49104000).

32778864 is an abundant number, since it is smaller than the sum of its proper divisors (65429136).

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

32778864 is a wasteful number, since it uses less digits than its factorization.

32778864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3327 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 32778864 is about 5725.2828751076. The cubic root of 32778864 is about 320.0353606758.

The spelling of 32778864 in words is "thirty-two million, seven hundred seventy-eight thousand, eight hundred sixty-four".