801618816 has 256 divisors, whose sum is σ = 2485209600. Its totient is φ = 227082240.

The previous prime is 801618761. The next prime is 801618823. The reversal of 801618816 is 618816108.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2852596 + ... + 2852876.

It is an arithmetic number, because the mean of its divisors is an integer number (9707850).

Almost surely, 2^801618816 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 801618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242604800).

801618816 is an abundant number, since it is smaller than the sum of its proper divisors (1683590784).

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

801618816 is a wasteful number, since it uses less digits than its factorization.

801618816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 801618816 is about 28312.8736796532. The cubic root of 801618816 is about 928.9435013724.

The spelling of 801618816 in words is "eight hundred one million, six hundred eighteen thousand, eight hundred sixteen".