64480800 has 144 divisors (see below), whose sum is σ = 213548832. Its totient is φ = 16896000.

The previous prime is 64480769. The next prime is 64480811. The reversal of 64480800 is 808446.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160600 + ... + 161000.

It is an arithmetic number, because the mean of its divisors is an integer number (1482978).

Almost surely, 2^64480800 is an apocalyptic number.

64480800 is a gapful number since it is divisible by the number (60) 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 64480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106774416).

64480800 is an abundant number, since it is smaller than the sum of its proper divisors (149068032).

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

64480800 is a wasteful number, since it uses less digits than its factorization.

64480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 64480800 is about 8029.9937733475. The cubic root of 64480800 is about 400.9991687431. Note that the first 3 decimals are identical.

The spelling of 64480800 in words is "sixty-four million, four hundred eighty thousand, eight hundred".