795529440 has 288 divisors, whose sum is σ = 2853107712. Its totient is φ = 201600000.

The previous prime is 795529439. The next prime is 795529477. The reversal of 795529440 is 44925597.

795529440 is a `hidden beast` number, since 7 + 9 + 552 + 94 + 4 + 0 = 666.

795529440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 3169315 + ... + 3169565.

It is an arithmetic number, because the mean of its divisors is an integer number (9906624).

Almost surely, 2^795529440 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 795529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426553856).

795529440 is an abundant number, since it is smaller than the sum of its proper divisors (2057578272).

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

795529440 is a wasteful number, since it uses less digits than its factorization.

795529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 795529440 is about 28205.1314480185. The cubic root of 795529440 is about 926.5853271830.

The spelling of 795529440 in words is "seven hundred ninety-five million, five hundred twenty-nine thousand, four hundred forty".