754720000 has 180 divisors, whose sum is σ = 1939582260. Its totient is φ = 292864000.

The previous prime is 754719997. The next prime is 754720003. The reversal of 754720000 is 27457.

It is an interprime number because it is at equal distance from previous prime (754719997) and next prime (754720003).

It can be written as a sum of positive squares in 10 ways, for example, as 611869696 + 142850304 = 24736^2 + 11952^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (754720003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 8479956 + ... + 8480044.

It is an arithmetic number, because the mean of its divisors is an integer number (10775457).

Almost surely, 2^754720000 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 754720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969791130).

754720000 is an abundant number, since it is smaller than the sum of its proper divisors (1184862260).

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

754720000 is an frugal number, since it uses more digits than its factorization.

754720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 754720000 is about 27472.1677339084. The cubic root of 754720000 is about 910.4622696609.

Adding to 754720000 its reverse (27457), we get a palindrome (754747457).

The spelling of 754720000 in words is "seven hundred fifty-four million, seven hundred twenty thousand".