108077760 has 224 divisors, whose sum is σ = 435985920. Its totient is φ = 24689664.

The previous prime is 108077747. The next prime is 108077807. The reversal of 108077760 is 67770801.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59587 + ... + 61373.

Almost surely, 2^108077760 is an apocalyptic number.

108077760 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 108077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217992960).

108077760 is an abundant number, since it is smaller than the sum of its proper divisors (327908160).

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

108077760 is a wasteful number, since it uses less digits than its factorization.

108077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 108077760 is about 10396.0454019786. The cubic root of 108077760 is about 476.3345810469.

The spelling of 108077760 in words is "one hundred eight million, seventy-seven thousand, seven hundred sixty".