745667820 has 216 divisors, whose sum is σ = 2434828032. Its totient is φ = 184588800.

The previous prime is 745667743. The next prime is 745667833. The reversal of 745667820 is 28766547.

745667820 is a `hidden beast` number, since 7 + 4 + 566 + 7 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3903925 + ... + 3904115.

It is an arithmetic number, because the mean of its divisors is an integer number (11272352).

Almost surely, 2^745667820 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 745667820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217414016).

745667820 is an abundant number, since it is smaller than the sum of its proper divisors (1689160212).

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

745667820 is a wasteful number, since it uses less digits than its factorization.

745667820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 745667820 is about 27306.9189034574. The cubic root of 745667820 is about 906.8075632270.

The spelling of 745667820 in words is "seven hundred forty-five million, six hundred sixty-seven thousand, eight hundred twenty".