30826800 has 90 divisors (see below), whose sum is σ = 106990052. Its totient is φ = 8219520.

The previous prime is 30826799. The next prime is 30826811. The reversal of 30826800 is 862803.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 682 + ... + 7881.

Almost surely, 2^30826800 is an apocalyptic number.

30826800 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 30826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53495026).

30826800 is an abundant number, since it is smaller than the sum of its proper divisors (76163252).

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

30826800 is a wasteful number, since it uses less digits than its factorization.

30826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 30826800 is about 5552.1887575982. The cubic root of 30826800 is about 313.5519323627.

It can be divided in two parts, 30826 and 800, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 30826800 in words is "thirty million, eight hundred twenty-six thousand, eight hundred".