755513460 has 192 divisors, whose sum is σ = 2546933760. Its totient is φ = 184826880.

The previous prime is 755513459. The next prime is 755513461. The reversal of 755513460 is 64315557.

755513460 is a `hidden beast` number, since 75 + 551 + 34 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (755513459) and next prime (755513461).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755513461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1972429 + ... + 1972811.

It is an arithmetic number, because the mean of its divisors is an integer number (13265280).

Almost surely, 2^755513460 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 755513460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273466880).

755513460 is an abundant number, since it is smaller than the sum of its proper divisors (1791420300).

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

755513460 is a wasteful number, since it uses less digits than its factorization.

755513460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 755513460 is about 27486.6051013944. The cubic root of 755513460 is about 910.7812234339.

The spelling of 755513460 in words is "seven hundred fifty-five million, five hundred thirteen thousand, four hundred sixty".