82078160 has 40 divisors (see below), whose sum is σ = 191363496. Its totient is φ = 32739840.

The previous prime is 82078153. The next prime is 82078163. The reversal of 82078160 is 6187028.

It can be written as a sum of positive squares in 4 ways, for example, as 4426816 + 77651344 = 2104^2 + 8812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82078163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32462 + ... + 34898.

Almost surely, 2^82078160 is an apocalyptic number.

82078160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82078160 is an abundant number, since it is smaller than the sum of its proper divisors (109285336).

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

82078160 is a wasteful number, since it uses less digits than its factorization.

82078160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 82078160 is about 9059.6997742751. The cubic root of 82078160 is about 434.5861391632.

The spelling of 82078160 in words is "eighty-two million, seventy-eight thousand, one hundred sixty".