30763320 has 128 divisors (see below), whose sum is σ = 107619840. Its totient is φ = 6888960.

The previous prime is 30763309. The next prime is 30763321. The reversal of 30763320 is 2336703.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30763321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44175 + ... + 44865.

It is an arithmetic number, because the mean of its divisors is an integer number (840780).

Almost surely, 2^30763320 is an apocalyptic number.

30763320 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 30763320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53809920).

30763320 is an abundant number, since it is smaller than the sum of its proper divisors (76856520).

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

30763320 is a wasteful number, since it uses less digits than its factorization.

30763320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 30763320 is about 5546.4691471241. The cubic root of 30763320 is about 313.3365574841.

The spelling of 30763320 in words is "thirty million, seven hundred sixty-three thousand, three hundred twenty".