807809464 has 128 divisors (see below), whose sum is σ = 1950220800. Its totient is φ = 304611840.

The previous prime is 807809437. The next prime is 807809467. The reversal of 807809464 is 464908708.

It is a happy number.

It is a super-2 number, since 2×807809464² = 1305112260255934592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807809467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3558519 + ... + 3558745.

It is an arithmetic number, because the mean of its divisors is an integer number (15236100).

Almost surely, 2^807809464 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 807809464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975110400).

807809464 is an abundant number, since it is smaller than the sum of its proper divisors (1142411336).

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

807809464 is a wasteful number, since it uses less digits than its factorization.

807809464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 807809464 is about 28421.9890929541. The cubic root of 807809464 is about 931.3286839271.

The spelling of 807809464 in words is "eight hundred seven million, eight hundred nine thousand, four hundred sixty-four".