107789440 has 128 divisors (see below), whose sum is σ = 286856640. Its totient is φ = 38400000.

The previous prime is 107789411. The next prime is 107789441. The reversal of 107789440 is 44987701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 107789393 and 107789402.

It is not an unprimeable number, because it can be changed into a prime (107789441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429315 + ... + 429565.

Almost surely, 2^107789440 is an apocalyptic number.

107789440 is a gapful number since it is divisible by the number (10) 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 107789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143428320).

107789440 is an abundant number, since it is smaller than the sum of its proper divisors (179067200).

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

107789440 is a wasteful number, since it uses less digits than its factorization.

107789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 107789440 is about 10382.1693301545. The cubic root of 107789440 is about 475.9106298332.

The spelling of 107789440 in words is "one hundred seven million, seven hundred eighty-nine thousand, four hundred forty".