801697680 has 240 divisors, whose sum is σ = 3120574080. Its totient is φ = 180652032.

The previous prime is 801697667. The next prime is 801697693. The reversal of 801697680 is 86796108.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (801697667) and next prime (801697693).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 366831 + ... + 369009.

It is an arithmetic number, because the mean of its divisors is an integer number (13002392).

Almost surely, 2^801697680 is an apocalyptic number.

801697680 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 801697680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560287040).

801697680 is an abundant number, since it is smaller than the sum of its proper divisors (2318876400).

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

801697680 is a wasteful number, since it uses less digits than its factorization.

801697680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 801697680 is about 28314.2663687407. The cubic root of 801697680 is about 928.9739638135.

The spelling of 801697680 in words is "eight hundred one million, six hundred ninety-seven thousand, six hundred eighty".