803877680 has 80 divisors (see below), whose sum is σ = 1946661120. Its totient is φ = 308345856.

The previous prime is 803877677. The next prime is 803877721. The reversal of 803877680 is 86778308.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363137 + ... + 365343.

It is an arithmetic number, because the mean of its divisors is an integer number (24333264).

Almost surely, 2^803877680 is an apocalyptic number.

803877680 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 803877680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973330560).

803877680 is an abundant number, since it is smaller than the sum of its proper divisors (1142783440).

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

803877680 is a wasteful number, since it uses less digits than its factorization.

803877680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The square root of 803877680 is about 28352.7367285770. The cubic root of 803877680 is about 929.8152328820.

The spelling of 803877680 in words is "eight hundred three million, eight hundred seventy-seven thousand, six hundred eighty".