32772780 has 72 divisors (see below), whose sum is σ = 100110192. Its totient is φ = 8678016.

The previous prime is 32772757. The next prime is 32772781. The reversal of 32772780 is 8727723.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32772781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28782 + ... + 29898.

Almost surely, 2^32772780 is an apocalyptic number.

32772780 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 32772780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50055096).

32772780 is an abundant number, since it is smaller than the sum of its proper divisors (67337412).

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

32772780 is a wasteful number, since it uses less digits than its factorization.

32772780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 32772780 is about 5724.7515229921. The cubic root of 32772780 is about 320.0155591393.

The spelling of 32772780 in words is "thirty-two million, seven hundred seventy-two thousand, seven hundred eighty".