764601240 has 128 divisors (see below), whose sum is σ = 2555582400. Its totient is φ = 181708800.

The previous prime is 764601221. The next prime is 764601289. The reversal of 764601240 is 42106467.

764601240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 764601198 and 764601207.

It is a congruent number.

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, 36790 + ... + 53690.

Almost surely, 2^764601240 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 764601240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277791200).

764601240 is an abundant number, since it is smaller than the sum of its proper divisors (1790981160).

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

764601240 is a wasteful number, since it uses less digits than its factorization.

764601240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16957 (or 16953 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 764601240 is about 27651.4238331410. The cubic root of 764601240 is about 914.4184904359.

The spelling of 764601240 in words is "seven hundred sixty-four million, six hundred one thousand, two hundred forty".