755480000 has 280 divisors, whose sum is σ = 2185287984. Its totient is φ = 256000000.

The previous prime is 755479969. The next prime is 755480009. The reversal of 755480000 is 84557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755480009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7479950 + ... + 7480050.

Almost surely, 2^755480000 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 755480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092643992).

755480000 is an abundant number, since it is smaller than the sum of its proper divisors (1429807984).

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

755480000 is a wasteful number, since it uses less digits than its factorization.

755480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 755480000 is about 27485.9964345483. The cubic root of 755480000 is about 910.7677777481.

The spelling of 755480000 in words is "seven hundred fifty-five million, four hundred eighty thousand".