80892840 has 256 divisors, whose sum is σ = 298598400. Its totient is φ = 17132544.

The previous prime is 80892827. The next prime is 80892853. The reversal of 80892840 is 4829808.

It is a happy number.

80892840 is a nontrivial binomial coefficient, being equal to C(12720, 2).

It is an interprime number because it is at equal distance from previous prime (80892827) and next prime (80892853).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1023921 + ... + 1023999.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 2^80892840 is an apocalyptic number.

80892840 is the 12719-th triangular number and also the 6360-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80892840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149299200).

80892840 is an abundant number, since it is smaller than the sum of its proper divisors (217705560).

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

80892840 is a wasteful number, since it uses less digits than its factorization.

80892840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 80892840 is about 8994.0446963532. The cubic root of 80892840 is about 432.4839826115.

The spelling of 80892840 in words is "eighty million, eight hundred ninety-two thousand, eight hundred forty".