807020820 has 240 divisors, whose sum is σ = 2697932160. Its totient is φ = 201367296.

The previous prime is 807020813. The next prime is 807020827. The reversal of 807020820 is 28020708.

It is an interprime number because it is at equal distance from previous prime (807020813) and next prime (807020827).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807020827) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4832377 + ... + 4832543.

It is an arithmetic number, because the mean of its divisors is an integer number (11241384).

Almost surely, 2^807020820 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 807020820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348966080).

807020820 is an abundant number, since it is smaller than the sum of its proper divisors (1890911340).

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

807020820 is a wasteful number, since it uses less digits than its factorization.

807020820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 807020820 is about 28408.1118696755. Note that the first 3 decimals coincide. The cubic root of 807020820 is about 931.0255076785.

The spelling of 807020820 in words is "eight hundred seven million, twenty thousand, eight hundred twenty".