760104000 has 672 divisors, whose sum is σ = 3115397376. Its totient is φ = 182476800.

The previous prime is 760103999. The next prime is 760104001. The reversal of 760104000 is 401067.

It is an interprime number because it is at equal distance from previous prime (760103999) and next prime (760104001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760104001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33047989 + ... + 33048011.

It is an arithmetic number, because the mean of its divisors is an integer number (4636008).

Almost surely, 2^760104000 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 760104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557698688).

760104000 is an abundant number, since it is smaller than the sum of its proper divisors (2355293376).

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

760104000 is a wasteful number, since it uses less digits than its factorization.

760104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 760104000 is about 27569.9836779059. The cubic root of 760104000 is about 912.6221516590.

Adding to 760104000 its reverse (401067), we get a palindrome (760505067).

The spelling of 760104000 in words is "seven hundred sixty million, one hundred four thousand".