807649920 has 512 divisors, whose sum is σ = 3572121600. Its totient is φ = 167546880.

The previous prime is 807649907. The next prime is 807649933. The reversal of 807649920 is 29946708.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (807649907) and next prime (807649933).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330257 + ... + 1330863.

It is an arithmetic number, because the mean of its divisors is an integer number (6976800).

Almost surely, 2^807649920 is an apocalyptic number.

807649920 is a gapful number since it is divisible by the number (80) 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 807649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786060800).

807649920 is an abundant number, since it is smaller than the sum of its proper divisors (2764471680).

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

807649920 is a wasteful number, since it uses less digits than its factorization.

807649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 807649920 is about 28419.1822542451. The cubic root of 807649920 is about 931.2673667917.

The spelling of 807649920 in words is "eight hundred seven million, six hundred forty-nine thousand, nine hundred twenty".