755538160 has 240 divisors, whose sum is σ = 2058618240. Its totient is φ = 257187840.

The previous prime is 755538151. The next prime is 755538181. The reversal of 755538160 is 61835557.

It is a super-2 number, since 2×755538160² = 1141675822432371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 16075257 + ... + 16075303.

It is an arithmetic number, because the mean of its divisors is an integer number (8577576).

Almost surely, 2^755538160 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 755538160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029309120).

755538160 is an abundant number, since it is smaller than the sum of its proper divisors (1303080080).

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

755538160 is a wasteful number, since it uses less digits than its factorization.

755538160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The square root of 755538160 is about 27487.0544074843. The cubic root of 755538160 is about 910.7911487153.

The spelling of 755538160 in words is "seven hundred fifty-five million, five hundred thirty-eight thousand, one hundred sixty".