760258080 has 288 divisors, whose sum is σ = 2707810560. Its totient is φ = 194088960.

The previous prime is 760258049. The next prime is 760258097. The reversal of 760258080 is 80852067.

760258080 is a `hidden beast` number, since 76 + 0 + 2 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4664079 + ... + 4664241.

It is an arithmetic number, because the mean of its divisors is an integer number (9402120).

Almost surely, 2^760258080 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 760258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353905280).

760258080 is an abundant number, since it is smaller than the sum of its proper divisors (1947552480).

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

760258080 is a wasteful number, since it uses less digits than its factorization.

760258080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 760258080 is about 27572.7778796406. Note that the first 3 decimals coincide. The cubic root of 760258080 is about 912.6838130986.

It can be divided in two parts, 760 and 258080, that added together give a triangular number (258840 = T₇₁₉).

The spelling of 760258080 in words is "seven hundred sixty million, two hundred fifty-eight thousand, eighty".