813735840 has 48 divisors (see below), whose sum is σ = 2563269408. Its totient is φ = 216996096.

The previous prime is 813735823. The next prime is 813735841. The reversal of 813735840 is 48537318.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (813735841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 847162 + ... + 848121.

It is an arithmetic number, because the mean of its divisors is an integer number (53401446).

Almost surely, 2^813735840 is an apocalyptic number.

813735840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813735840 is an abundant number, since it is smaller than the sum of its proper divisors (1749533568).

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

813735840 is a wasteful number, since it uses less digits than its factorization.

813735840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695301 (or 1695293 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 813735840 is about 28526.0554581246. The cubic root of 813735840 is about 933.6006558533.

The spelling of 813735840 in words is "eight hundred thirteen million, seven hundred thirty-five thousand, eight hundred forty".