800890377 has 32 divisors (see below), whose sum is σ = 1235334144. Its totient is φ = 452088000.

The previous prime is 800890357. The next prime is 800890423. The reversal of 800890377 is 773098008.

It is not a de Polignac number, because 800890377 - 2¹⁶ = 800824841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (800890327) by changing a digit.

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, 761502 + ... + 762552.

It is an arithmetic number, because the mean of its divisors is an integer number (38604192).

Almost surely, 2^800890377 is an apocalyptic number.

It is an amenable number.

800890377 is a deficient number, since it is larger than the sum of its proper divisors (434443767).

800890377 is a wasteful number, since it uses less digits than its factorization.

800890377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469.

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 800890377 is about 28300.0066607766. The cubic root of 800890377 is about 928.6620360286.

The spelling of 800890377 in words is "eight hundred million, eight hundred ninety thousand, three hundred seventy-seven".