755967840 has 192 divisors, whose sum is σ = 2469035520. Its totient is φ = 194293760.

The previous prime is 755967791. The next prime is 755967847. The reversal of 755967840 is 48769557.

It is a super-2 number, since 2×755967840² = 1142974750228531200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755967847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2105581 + ... + 2105939.

It is an arithmetic number, because the mean of its divisors is an integer number (12859560).

Almost surely, 2^755967840 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 755967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234517760).

755967840 is an abundant number, since it is smaller than the sum of its proper divisors (1713067680).

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

755967840 is a wasteful number, since it uses less digits than its factorization.

755967840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 755967840 is about 27494.8693395695. The cubic root of 755967840 is about 910.9637738264.

It can be divided in two parts, 75596 and 7840, that added together give a triangular number (83436 = T₄₀₈).

The spelling of 755967840 in words is "seven hundred fifty-five million, nine hundred sixty-seven thousand, eight hundred forty".