32778816 has 112 divisors (see below), whose sum is σ = 102656640. Its totient is φ = 9042432.

The previous prime is 32778797. The next prime is 32778821. The reversal of 32778816 is 61887723.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1130290 + ... + 1130318.

Almost surely, 2^32778816 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 32778816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51328320).

32778816 is an abundant number, since it is smaller than the sum of its proper divisors (69877824).

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

32778816 is an frugal number, since it uses more digits than its factorization.

32778816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 41 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 32778816 is about 5725.2786831734. The cubic root of 32778816 is about 320.0352044602.

The spelling of 32778816 in words is "thirty-two million, seven hundred seventy-eight thousand, eight hundred sixteen".