480075700800 has 168 divisors, whose sum is σ = 1577448813600. Its totient is φ = 127825080320.

The previous prime is 480075700771. The next prime is 480075700829. The reversal of 480075700800 is 8007570084.

It is an interprime number because it is at equal distance from previous prime (480075700771) and next prime (480075700829).

It is a super-2 number, since 2×480075700800² (a number of 24 digits) contains 22 as substring.

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, 3087316 + ... + 3239084.

Almost surely, 2^480075700800 is an apocalyptic number.

480075700800 is a gapful number since it is divisible by the number (40) 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 480075700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788724406800).

480075700800 is an abundant number, since it is smaller than the sum of its proper divisors (1097373112800).

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

480075700800 is a wasteful number, since it uses less digits than its factorization.

480075700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152453 (or 152438 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 480075700800 in words is "four hundred eighty billion, seventy-five million, seven hundred thousand, eight hundred".