80267460 has 192 divisors, whose sum is σ = 282315264. Its totient is φ = 16588800.

The previous prime is 80267459. The next prime is 80267461. The reversal of 80267460 is 6476208.

80267460 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (80267459) and next prime (80267461).

It is not an unprimeable number, because it can be changed into a prime (80267461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332940 + ... + 333180.

It is an arithmetic number, because the mean of its divisors is an integer number (1470392).

Almost surely, 2^80267460 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 80267460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141157632).

80267460 is an abundant number, since it is smaller than the sum of its proper divisors (202047804).

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

80267460 is a wasteful number, since it uses less digits than its factorization.

80267460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 80267460 is about 8959.2109027525. The cubic root of 80267460 is about 431.3665914542.

The spelling of 80267460 in words is "eighty million, two hundred sixty-seven thousand, four hundred sixty".