764271144 has 192 divisors, whose sum is σ = 2587079040. Its totient is φ = 198443520.

The previous prime is 764271107. The next prime is 764271169. The reversal of 764271144 is 441172467.

It is a happy number.

764271144 is a `hidden beast` number, since 7 + 642 + 7 + 1 + 1 + 4 + 4 = 666.

764271144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×764271144² = 1168220763102137472, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 764271099 and 764271108.

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, 438114 + ... + 439854.

It is an arithmetic number, because the mean of its divisors is an integer number (13474370).

Almost surely, 2^764271144 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 764271144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293539520).

764271144 is an abundant number, since it is smaller than the sum of its proper divisors (1822807896).

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

764271144 is a wasteful number, since it uses less digits than its factorization.

764271144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1833 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 764271144 is about 27645.4543098861. The cubic root of 764271144 is about 914.2868796395.

The spelling of 764271144 in words is "seven hundred sixty-four million, two hundred seventy-one thousand, one hundred forty-four".