32780640 has 96 divisors (see below), whose sum is σ = 106638336. Its totient is φ = 8455680.

The previous prime is 32780591. The next prime is 32780647. The reversal of 32780640 is 4608723.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32780598 and 32780607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32780647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13779 + ... + 15981.

It is an arithmetic number, because the mean of its divisors is an integer number (1110816).

Almost surely, 2^32780640 is an apocalyptic number.

32780640 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 32780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53319168).

32780640 is an abundant number, since it is smaller than the sum of its proper divisors (73857696).

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

32780640 is a wasteful number, since it uses less digits than its factorization.

32780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 32780640 is about 5725.4379745134. The cubic root of 32780640 is about 320.0411405439.

The spelling of 32780640 in words is "thirty-two million, seven hundred eighty thousand, six hundred forty".