110077680 has 80 divisors (see below), whose sum is σ = 342504864. Its totient is φ = 29245440.

The previous prime is 110077673. The next prime is 110077711. The reversal of 110077680 is 86770011.

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 (30).

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, 80200 + ... + 81560.

Almost surely, 2^110077680 is an apocalyptic number.

110077680 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 110077680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171252432).

110077680 is an abundant number, since it is smaller than the sum of its proper divisors (232427184).

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

110077680 is a wasteful number, since it uses less digits than its factorization.

110077680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 110077680 is about 10491.7910768372. The cubic root of 110077680 is about 479.2547462868.

The spelling of 110077680 in words is "one hundred ten million, seventy-seven thousand, six hundred eighty".