190765080 has 192 divisors, whose sum is σ = 687398400. Its totient is φ = 45492480.

The previous prime is 190765079. The next prime is 190765093. The reversal of 190765080 is 80567091.

190765080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 264961 + ... + 265679.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^190765080 is an apocalyptic number.

190765080 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 190765080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343699200).

190765080 is an abundant number, since it is smaller than the sum of its proper divisors (496633320).

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

190765080 is a wasteful number, since it uses less digits than its factorization.

190765080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 190765080 is about 13811.7732387988. The cubic root of 190765080 is about 575.6603176596.

The spelling of 190765080 in words is "one hundred ninety million, seven hundred sixty-five thousand, eighty".