760505760 has 480 divisors, whose sum is σ = 3135065472. Its totient is φ = 170035200.

The previous prime is 760505749. The next prime is 760505789. The reversal of 760505760 is 67505067.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7529710 + ... + 7529810.

Almost surely, 2^760505760 is an apocalyptic number.

760505760 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 760505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567532736).

760505760 is an abundant number, since it is smaller than the sum of its proper divisors (2374559712).

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

760505760 is a wasteful number, since it uses less digits than its factorization.

760505760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 760505760 is about 27577.2689003099. The cubic root of 760505760 is about 912.7829149646.

It can be divided in two parts, 76050 and 5760, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 760505760 in words is "seven hundred sixty million, five hundred five thousand, seven hundred sixty".