164378880 has 216 divisors, whose sum is σ = 599464320. Its totient is φ = 41472000.

The previous prime is 164378869. The next prime is 164378887. The reversal of 164378880 is 88873461.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (164378887) 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, 218505 + ... + 219255.

Almost surely, 2^164378880 is an apocalyptic number.

164378880 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 164378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299732160).

164378880 is an abundant number, since it is smaller than the sum of its proper divisors (435085440).

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

164378880 is a wasteful number, since it uses less digits than its factorization.

164378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 164378880 is about 12821.0327197149. The cubic root of 164378880 is about 547.7915629760.

The spelling of 164378880 in words is "one hundred sixty-four million, three hundred seventy-eight thousand, eight hundred eighty".