30785040 has 360 divisors, whose sum is σ = 127438272. Its totient is φ = 6589440.

The previous prime is 30784991. The next prime is 30785057. The reversal of 30785040 is 4058703.

30785040 = T₂₁₁ + T₂₁₂ + ... + T₅₇₈.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 30784995 and 30785013.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1338469 + ... + 1338491.

Almost surely, 2^30785040 is an apocalyptic number.

30785040 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 30785040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63719136).

30785040 is an abundant number, since it is smaller than the sum of its proper divisors (96653232).

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

30785040 is a wasteful number, since it uses less digits than its factorization.

30785040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 30785040 is about 5548.4268040590. The cubic root of 30785040 is about 313.4102823938.

It can be divided in two parts, 3078 and 5040, that added together give a palindrome (8118).

The spelling of 30785040 in words is "thirty million, seven hundred eighty-five thousand, forty".