830793640 has 64 divisors (see below), whose sum is σ = 1908522000. Its totient is φ = 325416960.

The previous prime is 830793629. The next prime is 830793643. The reversal of 830793640 is 46397038.

It can be written as a sum of positive squares in 8 ways, for example, as 537219684 + 293573956 = 23178^2 + 17134^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 830793593 and 830793602.

It is not an unprimeable number, because it can be changed into a prime (830793643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386970 + ... + 389110.

Almost surely, 2^830793640 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 830793640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954261000).

830793640 is an abundant number, since it is smaller than the sum of its proper divisors (1077728360).

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

830793640 is a wasteful number, since it uses less digits than its factorization.

830793640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 830793640 is about 28823.4911140202. The cubic root of 830793640 is about 940.0790789063.

The spelling of 830793640 in words is "eight hundred thirty million, seven hundred ninety-three thousand, six hundred forty".