755892480 has 288 divisors, whose sum is σ = 2810320128. Its totient is φ = 169574400.

The previous prime is 755892479. The next prime is 755892481. The reversal of 755892480 is 84298557.

It is an interprime number because it is at equal distance from previous prime (755892479) and next prime (755892481).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755892481) 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, 1639450 + ... + 1639910.

It is an arithmetic number, because the mean of its divisors is an integer number (9758056).

Almost surely, 2^755892480 is an apocalyptic number.

755892480 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 755892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405160064).

755892480 is an abundant number, since it is smaller than the sum of its proper divisors (2054427648).

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

755892480 is a wasteful number, since it uses less digits than its factorization.

755892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 755892480 is about 27493.4988679142. The cubic root of 755892480 is about 910.9335024720.

The spelling of 755892480 in words is "seven hundred fifty-five million, eight hundred ninety-two thousand, four hundred eighty".