807032509920 has 1344 divisors, whose sum is σ = 3550083586560. Its totient is φ = 168740941824.

The previous prime is 807032509897. The next prime is 807032510003. The reversal of 807032509920 is 29905230708.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1475379087 + ... + 1475379633.

It is an arithmetic number, because the mean of its divisors is an integer number (2641431240).

Almost surely, 2^807032509920 is an apocalyptic number.

807032509920 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 807032509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775041793280).

807032509920 is an abundant number, since it is smaller than the sum of its proper divisors (2743051076640).

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

807032509920 is a wasteful number, since it uses less digits than its factorization.

807032509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 807032509920 in words is "eight hundred seven billion, thirty-two million, five hundred nine thousand, nine hundred twenty".