807875820 has 144 divisors (see below), whose sum is σ = 2628793440. Its totient is φ = 200199168.

The previous prime is 807875813. The next prime is 807875833. The reversal of 807875820 is 28578708.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 179032 + ... + 183488.

It is an arithmetic number, because the mean of its divisors is an integer number (18255510).

Almost surely, 2^807875820 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 807875820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314396720).

807875820 is an abundant number, since it is smaller than the sum of its proper divisors (1820917620).

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

807875820 is a wasteful number, since it uses less digits than its factorization.

807875820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 807875820 is about 28423.1564045938. The cubic root of 807875820 is about 931.3541839808.

The spelling of 807875820 in words is "eight hundred seven million, eight hundred seventy-five thousand, eight hundred twenty".