107768080 has 80 divisors (see below), whose sum is σ = 291838464. Its totient is φ = 36241920.

The previous prime is 107768077. The next prime is 107768081. The reversal of 107768080 is 80867701.

It is a happy number.

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

It is a super-2 number, since 2×107768080² = 23227918133772800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107768081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27865 + ... + 31495.

Almost surely, 2^107768080 is an apocalyptic number.

107768080 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 107768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145919232).

107768080 is an abundant number, since it is smaller than the sum of its proper divisors (184070384).

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

107768080 is a wasteful number, since it uses less digits than its factorization.

107768080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 107768080 is about 10381.1405924397. The cubic root of 107768080 is about 475.8791916187.

The spelling of 107768080 in words is "one hundred seven million, seven hundred sixty-eight thousand, eighty".