80346240 has 384 divisors, whose sum is σ = 317444400. Its totient is φ = 18579456.

The previous prime is 80346229. The next prime is 80346271. The reversal of 80346240 is 4264308.

80346240 is a `hidden beast` number, since 8 + 0 + 34 + 624 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 38044224 + 42302016 = 6168^2 + 6504^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2171502 + ... + 2171538.

Almost surely, 2^80346240 is an apocalyptic number.

80346240 is a gapful number since it is divisible by the number (80) 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 80346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158722200).

80346240 is an abundant number, since it is smaller than the sum of its proper divisors (237098160).

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

80346240 is a wasteful number, since it uses less digits than its factorization.

80346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 80346240 is about 8963.6064170623. The cubic root of 80346240 is about 431.5076695796.

The spelling of 80346240 in words is "eighty million, three hundred forty-six thousand, two hundred forty".