755475840 has 384 divisors, whose sum is σ = 3060832320. Its totient is φ = 168099840.

The previous prime is 755475829. The next prime is 755475841. The reversal of 755475840 is 48574557.

755475840 is a `hidden beast` number, since 7 + 554 + 7 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755475841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1652892 + ... + 1653348.

Almost surely, 2^755475840 is an apocalyptic number.

755475840 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 755475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530416160).

755475840 is an abundant number, since it is smaller than the sum of its proper divisors (2305356480).

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

755475840 is a wasteful number, since it uses less digits than its factorization.

755475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 755475840 is about 27485.9207595452. The cubic root of 755475840 is about 910.7661060512.

The spelling of 755475840 in words is "seven hundred fifty-five million, four hundred seventy-five thousand, eight hundred forty".