630578880 has 168 divisors, whose sum is σ = 2178448272. Its totient is φ = 167417856.

The previous prime is 630578867. The next prime is 630578881. The reversal of 630578880 is 88875036.

630578880 is a `hidden beast` number, since 630 + 5 + 7 + 8 + 8 + 8 + 0 = 666.

630578880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (630578881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1073947 + ... + 1074533.

It is an arithmetic number, because the mean of its divisors is an integer number (12966954).

Almost surely, 2^630578880 is an apocalyptic number.

630578880 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 630578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089224136).

630578880 is an abundant number, since it is smaller than the sum of its proper divisors (1547869392).

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

630578880 is a wasteful number, since it uses less digits than its factorization.

630578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 630578880 is about 25111.3297138961. The cubic root of 630578880 is about 857.5243749216.

The spelling of 630578880 in words is "six hundred thirty million, five hundred seventy-eight thousand, eight hundred eighty".