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764014680 = 2334511131797
BaseRepresentation
bin101101100010011…
…111000001011000
31222020121222010000
4231202133001120
53031041432210
6203451253000
724635006022
oct5542370130
91866558100
10764014680
113622a25a0
12193a4a160
13c23937c0
147367d012
1547119ac0
hex2d89f058

764014680 has 640 divisors, whose sum is σ = 3227273280. Its totient is φ = 159252480.

The previous prime is 764014679. The next prime is 764014687. The reversal of 764014680 is 86410467.

764014680 is a `hidden beast` number, since 7 + 640 + 1 + 4 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764014687) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7876392 + ... + 7876488.

Almost surely, 2764014680 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 764014680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613636640).

764014680 is an abundant number, since it is smaller than the sum of its proper divisors (2463258600).

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

764014680 is a wasteful number, since it uses less digits than its factorization.

764014680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 764014680 is about 27640.8154727750. The cubic root of 764014680 is about 914.1846000994.

The spelling of 764014680 in words is "seven hundred sixty-four million, fourteen thousand, six hundred eighty".