752830000 has 100 divisors (see below), whose sum is σ = 1963221568. Its totient is φ = 277920000.

The previous prime is 752829991. The next prime is 752830021. The reversal of 752830000 is 38257.

752830000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 127105 + ... + 132895.

Almost surely, 2^752830000 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 752830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981610784).

752830000 is an abundant number, since it is smaller than the sum of its proper divisors (1210391568).

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

752830000 is a wasteful number, since it uses less digits than its factorization.

752830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5811 counting only the distinct ones).

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

The square root of 752830000 is about 27437.7477209774. The cubic root of 752830000 is about 909.7016290253.

Adding to 752830000 its reverse (38257), we get a palindrome (752868257).

The spelling of 752830000 in words is "seven hundred fifty-two million, eight hundred thirty thousand".