107782320 has 40 divisors (see below), whose sum is σ = 334125936. Its totient is φ = 28741888.

The previous prime is 107782291. The next prime is 107782333. The reversal of 107782320 is 23287701.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 224307 + ... + 224786.

Almost surely, 2^107782320 is an apocalyptic number.

107782320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107782320 is an abundant number, since it is smaller than the sum of its proper divisors (226343616).

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

107782320 is a wasteful number, since it uses less digits than its factorization.

107782320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449109 (or 449103 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 107782320 is about 10381.8264289093. The cubic root of 107782320 is about 475.9001508899.

The spelling of 107782320 in words is "one hundred seven million, seven hundred eighty-two thousand, three hundred twenty".