80254944 has 324 divisors, whose sum is σ = 298024272. Its totient is φ = 20401920.

The previous prime is 80254931. The next prime is 80254963. The reversal of 80254944 is 44945208.

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

It is a junction number, because it is equal to n+sod(n) for n = 80254899 and 80254908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1707529 + ... + 1707575.

It is an arithmetic number, because the mean of its divisors is an integer number (919828).

Almost surely, 2^80254944 is an apocalyptic number.

80254944 is a gapful number since it is divisible by the number (84) 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 80254944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149012136).

80254944 is an abundant number, since it is smaller than the sum of its proper divisors (217769328).

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

80254944 is a wasteful number, since it uses less digits than its factorization.

80254944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 80254944 is about 8958.5123765054. The cubic root of 80254944 is about 431.3441694794.

The spelling of 80254944 in words is "eighty million, two hundred fifty-four thousand, nine hundred forty-four".