755480880 has 240 divisors, whose sum is σ = 3163440384. Its totient is φ = 156971520.

The previous prime is 755480849. The next prime is 755480903. The reversal of 755480880 is 88084557.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48627 + ... + 62253.

Almost surely, 2^755480880 is an apocalyptic number.

755480880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755480880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581720192).

755480880 is an abundant number, since it is smaller than the sum of its proper divisors (2407959504).

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

755480880 is a wasteful number, since it uses less digits than its factorization.

755480880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13664 (or 13655 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 755480880 is about 27486.0124426953. The cubic root of 755480880 is about 910.7681313756.

The spelling of 755480880 in words is "seven hundred fifty-five million, four hundred eighty thousand, eight hundred eighty".