806615040 has 576 divisors, whose sum is σ = 3346237440. Its totient is φ = 162201600.

The previous prime is 806615039. The next prime is 806615053. The reversal of 806615040 is 40516608.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 806614989 and 806615007.

It is a congruent number.

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, 26019825 + ... + 26019855.

It is an arithmetic number, because the mean of its divisors is an integer number (5809440).

Almost surely, 2^806615040 is an apocalyptic number.

806615040 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 806615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673118720).

806615040 is an abundant number, since it is smaller than the sum of its proper divisors (2539622400).

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

806615040 is a wasteful number, since it uses less digits than its factorization.

806615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 806615040 is about 28400.9689975536. The cubic root of 806615040 is about 930.8694378233.

The spelling of 806615040 in words is "eight hundred six million, six hundred fifteen thousand, forty".