930064800 has 576 divisors, whose sum is σ = 3779758080. Its totient is φ = 193966080.

The previous prime is 930064769. The next prime is 930064831. The reversal of 930064800 is 8460039.

It is an interprime number because it is at equal distance from previous prime (930064769) and next prime (930064831).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11205559 + ... + 11205641.

It is an arithmetic number, because the mean of its divisors is an integer number (6562080).

Almost surely, 2^930064800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889879040).

930064800 is an abundant number, since it is smaller than the sum of its proper divisors (2849693280).

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

930064800 is a wasteful number, since it uses less digits than its factorization.

930064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 930064800 is about 30496.9637833014. The cubic root of 930064800 is about 976.1226778518.

The spelling of 930064800 in words is "nine hundred thirty million, sixty-four thousand, eight hundred".