806257920 has 288 divisors, whose sum is σ = 2868009984. Its totient is φ = 191692800.

The previous prime is 806257909. The next prime is 806257937. The reversal of 806257920 is 29752608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1547260 + ... + 1547780.

It is an arithmetic number, because the mean of its divisors is an integer number (9958368).

Almost surely, 2^806257920 is an apocalyptic number.

806257920 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 806257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434004992).

806257920 is an abundant number, since it is smaller than the sum of its proper divisors (2061752064).

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

806257920 is a wasteful number, since it uses less digits than its factorization.

806257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 806257920 is about 28394.6811920824. The cubic root of 806257920 is about 930.7320401183.

The spelling of 806257920 in words is "eight hundred six million, two hundred fifty-seven thousand, nine hundred twenty".