165777920 has 240 divisors, whose sum is σ = 513235008. Its totient is φ = 49889280.

The previous prime is 165777919. The next prime is 165777923. The reversal of 165777920 is 29777561.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (165777923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5716466 + ... + 5716494.

Almost surely, 2^165777920 is an apocalyptic number.

165777920 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 165777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256617504).

165777920 is an abundant number, since it is smaller than the sum of its proper divisors (347457088).

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

165777920 is an equidigital number, since it uses as much as digits as its factorization.

165777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 44.

The square root of 165777920 is about 12875.4774668748. The cubic root of 165777920 is about 549.3412719708.

The spelling of 165777920 in words is "one hundred sixty-five million, seven hundred seventy-seven thousand, nine hundred twenty".