803977440 has 384 divisors, whose sum is σ = 3088834560. Its totient is φ = 171859968.

The previous prime is 803977439. The next prime is 803977459. The reversal of 803977440 is 44779308.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 803977392 and 803977401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3605169 + ... + 3605391.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 2^803977440 is an apocalyptic number.

803977440 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 803977440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544417280).

803977440 is an abundant number, since it is smaller than the sum of its proper divisors (2284857120).

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

803977440 is a wasteful number, since it uses less digits than its factorization.

803977440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 803977440 is about 28354.4959397976. The cubic root of 803977440 is about 929.8536941774.

The spelling of 803977440 in words is "eight hundred three million, nine hundred seventy-seven thousand, four hundred forty".