780164 has 48 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 284160.

The previous prime is 780163. The next prime is 780173. The reversal of 780164 is 461087.

780164 = T₁₉₇ + T₁₉₈ + ... + T₂₃₀.

It is not an unprimeable number, because it can be changed into a prime (780163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5162 + ... + 5310.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁷⁸⁰¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

780164 is an abundant number, since it is smaller than the sum of its proper divisors (1034236).

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

780164 is a wasteful number, since it uses less digits than its factorization.

780164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 780164 is about 883.2689284697. The cubic root of 780164 is about 92.0580918556.

The spelling of 780164 in words is "seven hundred eighty thousand, one hundred sixty-four".