30752800 has 72 divisors (see below), whose sum is σ = 80877636. Its totient is φ = 11351040.

The previous prime is 30752797. The next prime is 30752807. The reversal of 30752800 is 825703.

It can be written as a sum of positive squares in 6 ways, for example, as 2322576 + 28430224 = 1524^2 + 5332^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (30752807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8922 + ... + 11878.

Almost surely, 2^30752800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40438818).

30752800 is an abundant number, since it is smaller than the sum of its proper divisors (50124836).

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

30752800 is a wasteful number, since it uses less digits than its factorization.

30752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 30752800 is about 5545.5207149554. The cubic root of 30752800 is about 313.3008366278.

It can be divided in two parts, 30752 and 800, that multiplied together give a square (24601600 = 4960²).

The spelling of 30752800 in words is "thirty million, seven hundred fifty-two thousand, eight hundred".