165760400 has 120 divisors (see below), whose sum is σ = 433972224. Its totient is φ = 60480000.

The previous prime is 165760373. The next prime is 165760403. The reversal of 165760400 is 4067561.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (165760403) 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, 660275 + ... + 660525.

Almost surely, 2^165760400 is an apocalyptic number.

165760400 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 165760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216986112).

165760400 is an abundant number, since it is smaller than the sum of its proper divisors (268211824).

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

165760400 is a wasteful number, since it uses less digits than its factorization.

165760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 165760400 is about 12874.7970857796. The cubic root of 165760400 is about 549.3219191761.

The spelling of 165760400 in words is "one hundred sixty-five million, seven hundred sixty thousand, four hundred".