755674920 has 640 divisors, whose sum is σ = 3424861440. Its totient is φ = 144322560.

The previous prime is 755674889. The next prime is 755674921. The reversal of 755674920 is 29476557.

755674920 is a `hidden beast` number, since 7 + 556 + 7 + 4 + 92 + 0 = 666.

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 (755674921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3243124 + ... + 3243356.

It is an arithmetic number, because the mean of its divisors is an integer number (5351346).

Almost surely, 2^755674920 is an apocalyptic number.

755674920 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 755674920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712430720).

755674920 is an abundant number, since it is smaller than the sum of its proper divisors (2669186520).

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

755674920 is a wasteful number, since it uses less digits than its factorization.

755674920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 755674920 is about 27489.5420114632. The cubic root of 755674920 is about 910.8460995169.

The spelling of 755674920 in words is "seven hundred fifty-five million, six hundred seventy-four thousand, nine hundred twenty".