161758080 has 512 divisors, whose sum is σ = 669772800. Its totient is φ = 36495360.

The previous prime is 161758061. The next prime is 161758099. The reversal of 161758080 is 80857161.

It is an interprime number because it is at equal distance from previous prime (161758061) and next prime (161758099).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4371822 + ... + 4371858.

It is an arithmetic number, because the mean of its divisors is an integer number (1308150).

Almost surely, 2^161758080 is an apocalyptic number.

161758080 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 161758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334886400).

161758080 is an abundant number, since it is smaller than the sum of its proper divisors (508014720).

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

161758080 is a wasteful number, since it uses less digits than its factorization.

161758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 161758080 is about 12718.4149955881. The cubic root of 161758080 is about 544.8646859869.

The spelling of 161758080 in words is "one hundred sixty-one million, seven hundred fifty-eight thousand, eighty".