32780887920 has 400 divisors, whose sum is σ = 124881292800. Its totient is φ = 7903526400.

The previous prime is 32780887903. The next prime is 32780887921. The reversal of 32780887920 is 2978808723.

It is a super-2 number, since 2×32780887920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32780887921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14183565 + ... + 14185875.

It is an arithmetic number, because the mean of its divisors is an integer number (312203232).

Almost surely, 2^32780887920 is an apocalyptic number.

32780887920 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 32780887920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62440646400).

32780887920 is an abundant number, since it is smaller than the sum of its proper divisors (92100404880).

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

32780887920 is a wasteful number, since it uses less digits than its factorization.

32780887920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 32780887920 in words is "thirty-two billion, seven hundred eighty million, eight hundred eighty-seven thousand, nine hundred twenty".