755758080 has 704 divisors, whose sum is σ = 3395727360. Its totient is φ = 154828800.

The previous prime is 755758061. The next prime is 755758109. The reversal of 755758080 is 80857557.

It is a happy number.

755758080 is a `hidden beast` number, since 75 + 575 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10644445 + ... + 10644515.

Almost surely, 2^755758080 is an apocalyptic number.

755758080 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 755758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697863680).

755758080 is an abundant number, since it is smaller than the sum of its proper divisors (2639969280).

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

755758080 is a wasteful number, since it uses less digits than its factorization.

755758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The square root of 755758080 is about 27491.0545450697. The cubic root of 755758080 is about 910.8795103489.

The spelling of 755758080 in words is "seven hundred fifty-five million, seven hundred fifty-eight thousand, eighty".