80457600 has 288 divisors, whose sum is σ = 291220200. Its totient is φ = 19496960.

The previous prime is 80457599. The next prime is 80457623. The reversal of 80457600 is 675408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2774386 + ... + 2774414.

Almost surely, 2^80457600 is an apocalyptic number.

80457600 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 80457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145610100).

80457600 is an abundant number, since it is smaller than the sum of its proper divisors (210762600).

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

80457600 is a wasteful number, since it uses less digits than its factorization.

80457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 80457600 is about 8969.8160516256. The cubic root of 80457600 is about 431.7069342903.

The spelling of 80457600 in words is "eighty million, four hundred fifty-seven thousand, six hundred".