1000783376320 has 1344 divisors, whose sum is σ = 3321320841216. Its totient is φ = 279129784320.

The previous prime is 1000783376297. The next prime is 1000783376447. The reversal of 1000783376320 is 236733870001.

It is a happy number.

It is a super-3 number, since 3×1000783376320³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 12057630999 + ... + 12057631081.

It is an arithmetic number, because the mean of its divisors is an integer number (2471220864).

Almost surely, 2^{1000783376320} is an apocalyptic number.

1000783376320 is a gapful number since it is divisible by the number (10) 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 1000783376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660660420608).

1000783376320 is an abundant number, since it is smaller than the sum of its proper divisors (2320537464896).

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

1000783376320 is a wasteful number, since it uses less digits than its factorization.

1000783376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 1000783376320 in words is "one trillion, seven hundred eighty-three million, three hundred seventy-six thousand, three hundred twenty".