760250880 has 320 divisors, whose sum is σ = 2863745280. Its totient is φ = 190513152.

The previous prime is 760250837. The next prime is 760250893. The reversal of 760250880 is 88052067.

760250880 is a `hidden beast` number, since 76 + 0 + 2 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 1174717 + ... + 1175363.

It is an arithmetic number, because the mean of its divisors is an integer number (8949204).

Almost surely, 2^760250880 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 760250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431872640).

760250880 is an abundant number, since it is smaller than the sum of its proper divisors (2103494400).

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

760250880 is a wasteful number, since it uses less digits than its factorization.

760250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 674 counting only the distinct ones).

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

The square root of 760250880 is about 27572.6473157729. The cubic root of 760250880 is about 912.6809319085.

The spelling of 760250880 in words is "seven hundred sixty million, two hundred fifty thousand, eight hundred eighty".