803778380825 has 72 divisors (see below), whose sum is σ = 1228220623224. Its totient is φ = 518482944000.

The previous prime is 803778380789. The next prime is 803778380827. The reversal of 803778380825 is 528083877308.

It can be written as a sum of positive squares in 12 ways, for example, as 39488048656 + 764290332169 = 198716^2 + 874237^2 .

It is not a de Polignac number, because 803778380825 - 2³⁴ = 786598511641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (803778380827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47493365 + ... + 47510285.

It is an arithmetic number, because the mean of its divisors is an integer number (17058619767).

Almost surely, 2^803778380825 is an apocalyptic number.

803778380825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

803778380825 is a deficient number, since it is larger than the sum of its proper divisors (424442242399).

803778380825 is a wasteful number, since it uses less digits than its factorization.

803778380825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19243 (or 19231 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 59.

The spelling of 803778380825 in words is "eight hundred three billion, seven hundred seventy-eight million, three hundred eighty thousand, eight hundred twenty-five".