30278880 has 192 divisors, whose sum is σ = 109105920. Its totient is φ = 7838208.

The previous prime is 30278861. The next prime is 30278881. The reversal of 30278880 is 8887203.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30278881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185679 + ... + 185841.

It is an arithmetic number, because the mean of its divisors is an integer number (568260).

Almost surely, 2^30278880 is an apocalyptic number.

30278880 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 30278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54552960).

30278880 is an abundant number, since it is smaller than the sum of its proper divisors (78827040).

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

30278880 is a wasteful number, since it uses less digits than its factorization.

30278880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 30278880 is about 5502.6248282070. The cubic root of 30278880 is about 311.6831102054.

The spelling of 30278880 in words is "thirty million, two hundred seventy-eight thousand, eight hundred eighty".