80258400 has 216 divisors, whose sum is σ = 288825264. Its totient is φ = 20966400.

The previous prime is 80258393. The next prime is 80258407. The reversal of 80258400 is 485208.

80258400 is a `hidden beast` number, since 8 + 0 + 258 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (80258393) and next prime (80258407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80258407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 511122 + ... + 511278.

It is an arithmetic number, because the mean of its divisors is an integer number (1337154).

Almost surely, 2^80258400 is an apocalyptic number.

80258400 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 80258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144412632).

80258400 is an abundant number, since it is smaller than the sum of its proper divisors (208566864).

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

80258400 is a wasteful number, since it uses less digits than its factorization.

80258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 80258400 is about 8958.7052635970. The cubic root of 80258400 is about 431.3503610151.

The spelling of 80258400 in words is "eighty million, two hundred fifty-eight thousand, four hundred".