30770880 has 224 divisors, whose sum is σ = 118018560. Its totient is φ = 6635520.

The previous prime is 30770863. The next prime is 30770881. The reversal of 30770880 is 8807703.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (30770881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127560 + ... + 127800.

Almost surely, 2^30770880 is an apocalyptic number.

30770880 is a gapful number since it is divisible by the number (30) 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 30770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59009280).

30770880 is an abundant number, since it is smaller than the sum of its proper divisors (87247680).

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

30770880 is a wasteful number, since it uses less digits than its factorization.

30770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 30770880 is about 5547.1506199129. The cubic root of 30770880 is about 313.3622225765.

The spelling of 30770880 in words is "thirty million, seven hundred seventy thousand, eight hundred eighty".