755904660 has 192 divisors, whose sum is σ = 2673119232. Its totient is φ = 155510784.

The previous prime is 755904647. The next prime is 755904671. The reversal of 755904660 is 66409557.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161919 + ... + 166521.

It is an arithmetic number, because the mean of its divisors is an integer number (13922496).

Almost surely, 2^755904660 is an apocalyptic number.

755904660 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 755904660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336559616).

755904660 is an abundant number, since it is smaller than the sum of its proper divisors (1917214572).

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

755904660 is a wasteful number, since it uses less digits than its factorization.

755904660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 755904660 is about 27493.7203739327. The cubic root of 755904660 is about 910.9383951919.

The spelling of 755904660 in words is "seven hundred fifty-five million, nine hundred four thousand, six hundred sixty".