80540892 has 144 divisors (see below), whose sum is σ = 226017792. Its totient is φ = 25038720.

The previous prime is 80540891. The next prime is 80540899. The reversal of 80540892 is 29804508.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80540891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1713613 + ... + 1713659.

It is an arithmetic number, because the mean of its divisors is an integer number (1569568).

Almost surely, 2^80540892 is an apocalyptic number.

80540892 is a gapful number since it is divisible by the number (82) 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 80540892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113008896).

80540892 is an abundant number, since it is smaller than the sum of its proper divisors (145476900).

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

80540892 is a wasteful number, since it uses less digits than its factorization.

80540892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 80540892 is about 8974.4577552073. The cubic root of 80540892 is about 431.8558546862.

It can be divided in two parts, 8054089 and 2, that added together give a triangular number (8054091 = T₄₀₁₃).

The spelling of 80540892 in words is "eighty million, five hundred forty thousand, eight hundred ninety-two".