107657680 has 80 divisors (see below), whose sum is σ = 274138704. Its totient is φ = 39075840.

The previous prime is 107657663. The next prime is 107657707. The reversal of 107657680 is 86756701.

It can be written as a sum of positive squares in 8 ways, for example, as 7817616 + 99840064 = 2796^2 + 9992^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62592 + ... + 64288.

Almost surely, 2^107657680 is an apocalyptic number.

107657680 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 107657680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137069352).

107657680 is an abundant number, since it is smaller than the sum of its proper divisors (166481024).

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

107657680 is a wasteful number, since it uses less digits than its factorization.

107657680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 107657680 is about 10375.8218951561. The cubic root of 107657680 is about 475.7166357146.

The spelling of 107657680 in words is "one hundred seven million, six hundred fifty-seven thousand, six hundred eighty".