795434640 has 720 divisors, whose sum is σ = 3474402624. Its totient is φ = 149022720.

The previous prime is 795434623. The next prime is 795434657. The reversal of 795434640 is 46434597.

795434640 = T₆₀₆₁ + T₆₀₆₂ + ... + T₆₁₀₃.

795434640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (795434623) and next prime (795434657).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 795434592 and 795434601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18498459 + ... + 18498501.

Almost surely, 2^795434640 is an apocalyptic number.

795434640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 795434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737201312).

795434640 is an abundant number, since it is smaller than the sum of its proper divisors (2678967984).

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

795434640 is a wasteful number, since it uses less digits than its factorization.

795434640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 795434640 is about 28203.4508526882. The cubic root of 795434640 is about 926.5485199223.

The spelling of 795434640 in words is "seven hundred ninety-five million, four hundred thirty-four thousand, six hundred forty".