903780816 has 80 divisors (see below), whose sum is σ = 2369640000. Its totient is φ = 296792064.

The previous prime is 903780811. The next prime is 903780817. The reversal of 903780816 is 618087309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (903780811) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1810935 + ... + 1811433.

It is an arithmetic number, because the mean of its divisors is an integer number (29620500).

Almost surely, 2^903780816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 903780816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184820000).

903780816 is an abundant number, since it is smaller than the sum of its proper divisors (1465859184).

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

903780816 is a wasteful number, since it uses less digits than its factorization.

903780816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 903780816 is about 30062.9475600780. The cubic root of 903780816 is about 966.8394727662.

The spelling of 903780816 in words is "nine hundred three million, seven hundred eighty thousand, eight hundred sixteen".