801967680 has 168 divisors, whose sum is σ = 2878604352. Its totient is φ = 204542976.

The previous prime is 801967679. The next prime is 801967687. The reversal of 801967680 is 86769108.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (801967687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60187 + ... + 72293.

Almost surely, 2^801967680 is an apocalyptic number.

801967680 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 801967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439302176).

801967680 is an abundant number, since it is smaller than the sum of its proper divisors (2076636672).

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

801967680 is a wasteful number, since it uses less digits than its factorization.

801967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12153 (or 12140 counting only the distinct ones).

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

The square root of 801967680 is about 28319.0338818258. The cubic root of 801967680 is about 929.0782403689.

The spelling of 801967680 in words is "eight hundred one million, nine hundred sixty-seven thousand, six hundred eighty".