755820000 has 720 divisors, whose sum is σ = 3223780560. Its totient is φ = 165888000.

The previous prime is 755819993. The next prime is 755820029. The reversal of 755820000 is 28557.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39779991 + ... + 39780009.

It is an arithmetic number, because the mean of its divisors is an integer number (4477473).

Almost surely, 2^755820000 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 755820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611890280).

755820000 is an abundant number, since it is smaller than the sum of its proper divisors (2467960560).

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

755820000 is a wasteful number, since it uses less digits than its factorization.

755820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 755820000 is about 27492.1807065209. The cubic root of 755820000 is about 910.9043860864.

Adding to 755820000 its reverse (28557), we get a palindrome (755848557).

The spelling of 755820000 in words is "seven hundred fifty-five million, eight hundred twenty thousand".