32778480 has 160 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 7382016.

The previous prime is 32778463. The next prime is 32778481. The reversal of 32778480 is 8487723.

It is a super-2 number, since 2×32778480² = 2148857502220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32778481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183031 + ... + 183209.

It is an arithmetic number, because the mean of its divisors is an integer number (736560).

Almost surely, 2^32778480 is an apocalyptic number.

32778480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

32778480 is an abundant number, since it is smaller than the sum of its proper divisors (85071120).

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

32778480 is a wasteful number, since it uses less digits than its factorization.

32778480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 32778480 is about 5725.2493395485. The cubic root of 32778480 is about 320.0341109471.

The spelling of 32778480 in words is "thirty-two million, seven hundred seventy-eight thousand, four hundred eighty".