803819427840 has 1536 divisors, whose sum is σ = 3411841305600. Its totient is φ = 179159040000.

The previous prime is 803819427839. The next prime is 803819427899. The reversal of 803819427840 is 48724918308.

It is a happy number.

803819427840 is a `hidden beast` number, since 80 + 381 + 94 + 27 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×803819427840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3202467715 + ... + 3202467965.

It is an arithmetic number, because the mean of its divisors is an integer number (2221250850).

Almost surely, 2^803819427840 is an apocalyptic number.

803819427840 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 803819427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705920652800).

803819427840 is an abundant number, since it is smaller than the sum of its proper divisors (2608021877760).

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

803819427840 is a wasteful number, since it uses less digits than its factorization.

803819427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 803819427840 in words is "eight hundred three billion, eight hundred nineteen million, four hundred twenty-seven thousand, eight hundred forty".