760505000 has 80 divisors (see below), whose sum is σ = 1802938500. Its totient is φ = 300608000.

The previous prime is 760504999. The next prime is 760505101. The reversal of 760505000 is 505067.

It can be written as a sum of positive squares in 10 ways, for example, as 255424324 + 505080676 = 15982^2 + 22474^2 .

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 444146 + ... + 445854.

Almost surely, 2^760505000 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 760505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901469250).

760505000 is an abundant number, since it is smaller than the sum of its proper divisors (1042433500).

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

760505000 is a wasteful number, since it uses less digits than its factorization.

760505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 760505000 is about 27577.2551208419. The cubic root of 760505000 is about 912.7826109059.

It can be divided in two parts, 76050 and 5000, that multiplied together give a square (380250000 = 19500²).

The spelling of 760505000 in words is "seven hundred sixty million, five hundred five thousand".