755579280 has 160 divisors (see below), whose sum is σ = 2504304000. Its totient is φ = 187785216.

The previous prime is 755579267. The next prime is 755579287. The reversal of 755579280 is 82975557.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (755579287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443871 + ... + 445569.

It is an arithmetic number, because the mean of its divisors is an integer number (15651900).

Almost surely, 2^755579280 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 755579280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252152000).

755579280 is an abundant number, since it is smaller than the sum of its proper divisors (1748724720).

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

755579280 is a wasteful number, since it uses less digits than its factorization.

755579280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The square root of 755579280 is about 27487.8023857856. The cubic root of 755579280 is about 910.8076716189.

The spelling of 755579280 in words is "seven hundred fifty-five million, five hundred seventy-nine thousand, two hundred eighty".