755505000 has 240 divisors, whose sum is σ = 2597543520. Its totient is φ = 198288000.

The previous prime is 755504987. The next prime is 755505001. The reversal of 755505000 is 505557.

It is not an unprimeable number, because it can be changed into a prime (755505001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4634919 + ... + 4635081.

It is an arithmetic number, because the mean of its divisors is an integer number (10823098).

Almost surely, 2^755505000 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 755505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298771760).

755505000 is an abundant number, since it is smaller than the sum of its proper divisors (1842038520).

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

755505000 is a wasteful number, since it uses less digits than its factorization.

755505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4375, while the sum is 27.

The square root of 755505000 is about 27486.4512078224. The cubic root of 755505000 is about 910.7778238748. Note that the first 3 decimals are identical.

The spelling of 755505000 in words is "seven hundred fifty-five million, five hundred five thousand".