107680800 has 72 divisors (see below), whose sum is σ = 350508816. Its totient is φ = 28714240.

The previous prime is 107680777. The next prime is 107680813. The reversal of 107680800 is 8086701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20034 + ... + 24833.

It is an arithmetic number, because the mean of its divisors is an integer number (4868178).

Almost surely, 2^107680800 is an apocalyptic number.

107680800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107680800 is an abundant number, since it is smaller than the sum of its proper divisors (242828016).

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

107680800 is a wasteful number, since it uses less digits than its factorization.

107680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44890 (or 44877 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 107680800 is about 10376.9359639539. The cubic root of 107680800 is about 475.7506874156.

The spelling of 107680800 in words is "one hundred seven million, six hundred eighty thousand, eight hundred".