30795480 has 96 divisors (see below), whose sum is σ = 101003760. Its totient is φ = 8136960.

The previous prime is 30795473. The next prime is 30795487. The reversal of 30795480 is 8459703.

It is an interprime number because it is at equal distance from previous prime (30795473) and next prime (30795487).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (30795487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46834 + ... + 47486.

Almost surely, 2^30795480 is an apocalyptic number.

30795480 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 30795480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50501880).

30795480 is an abundant number, since it is smaller than the sum of its proper divisors (70208280).

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

30795480 is a wasteful number, since it uses less digits than its factorization.

30795480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 30795480 is about 5549.3675315301. The cubic root of 30795480 is about 313.4457068895.

The spelling of 30795480 in words is "thirty million, seven hundred ninety-five thousand, four hundred eighty".