30740880 has 80 divisors (see below), whose sum is σ = 99457920. Its totient is φ = 7839744.

The previous prime is 30740869. The next prime is 30740909. The reversal of 30740880 is 8804703.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2736 + ... + 8304.

It is an arithmetic number, because the mean of its divisors is an integer number (1243224).

Almost surely, 2^30740880 is an apocalyptic number.

30740880 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 30740880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49728960).

30740880 is an abundant number, since it is smaller than the sum of its proper divisors (68717040).

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

30740880 is a wasteful number, since it uses less digits than its factorization.

30740880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 30740880 is about 5544.4458695166. The cubic root of 30740880 is about 313.2603521994.

The spelling of 30740880 in words is "thirty million, seven hundred forty thousand, eight hundred eighty".