801185088 has 224 divisors, whose sum is σ = 2434498560. Its totient is φ = 230307840.

The previous prime is 801185083. The next prime is 801185093. The reversal of 801185088 is 880581108.

It is an interprime number because it is at equal distance from previous prime (801185083) and next prime (801185093).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801185081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6308481 + ... + 6308607.

Almost surely, 2^801185088 is an apocalyptic number.

801185088 is a gapful number since it is divisible by the number (88) 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 801185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217249280).

801185088 is an abundant number, since it is smaller than the sum of its proper divisors (1633313472).

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

801185088 is a wasteful number, since it uses less digits than its factorization.

801185088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 39.

The square root of 801185088 is about 28305.2130887580. The cubic root of 801185088 is about 928.7759314970.

The spelling of 801185088 in words is "eight hundred one million, one hundred eighty-five thousand, eighty-eight".