755016480 has 144 divisors (see below), whose sum is σ = 2585628864. Its totient is φ = 200624640.

The previous prime is 755016473. The next prime is 755016481. The reversal of 755016480 is 84610557.

755016480 = T₁₄₄ + T₁₄₅ + ... + T₁₆₅₄.

755016480 is a `hidden beast` number, since 7 + 5 + 5 + 0 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (755016481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498925 + ... + 500435.

It is an arithmetic number, because the mean of its divisors is an integer number (17955756).

Almost surely, 2^755016480 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 755016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292814432).

755016480 is an abundant number, since it is smaller than the sum of its proper divisors (1830612384).

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

755016480 is a wasteful number, since it uses less digits than its factorization.

755016480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 755016480 is about 27477.5632107361. The cubic root of 755016480 is about 910.5814743616.

The spelling of 755016480 in words is "seven hundred fifty-five million, sixteen thousand, four hundred eighty".