755677440 has 216 divisors, whose sum is σ = 2988393408. Its totient is φ = 172707840.

The previous prime is 755677361. The next prime is 755677459. The reversal of 755677440 is 44776557.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75955 + ... + 85325.

Almost surely, 2^755677440 is an apocalyptic number.

755677440 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 755677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494196704).

755677440 is an abundant number, since it is smaller than the sum of its proper divisors (2232715968).

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

755677440 is a wasteful number, since it uses less digits than its factorization.

755677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The square root of 755677440 is about 27489.5878470376. The cubic root of 755677440 is about 910.8471120024.

The spelling of 755677440 in words is "seven hundred fifty-five million, six hundred seventy-seven thousand, four hundred forty".