755767680 has 64 divisors (see below), whose sum is σ = 2409015600. Its totient is φ = 201537536.

The previous prime is 755767679. The next prime is 755767681. The reversal of 755767680 is 86767557.

It is an interprime number because it is at equal distance from previous prime (755767679) and next prime (755767681).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×755767680² = 1142369572265164800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755767681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194895 + ... + 198734.

Almost surely, 2^755767680 is an apocalyptic number.

It is an amenable number.

755767680 is an abundant number, since it is smaller than the sum of its proper divisors (1653247920).

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

755767680 is a wasteful number, since it uses less digits than its factorization.

755767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393651 (or 393639 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The square root of 755767680 is about 27491.2291467661. The cubic root of 755767680 is about 910.8833671414.

The spelling of 755767680 in words is "seven hundred fifty-five million, seven hundred sixty-seven thousand, six hundred eighty".