1376793990 has 256 divisors, whose sum is σ = 4359398400. Its totient is φ = 306633600.

The previous prime is 1376793959. The next prime is 1376794009. The reversal of 1376793990 is 993976731.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6524985 + ... + 6525195.

It is an arithmetic number, because the mean of its divisors is an integer number (17028900).

Almost surely, 2^1376793990 is an apocalyptic number.

1376793990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376793990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179699200).

1376793990 is an abundant number, since it is smaller than the sum of its proper divisors (2982604410).

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

1376793990 is a wasteful number, since it uses less digits than its factorization.

1376793990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 54.

The square root of 1376793990 is about 37105.1747065015. The cubic root of 1376793990 is about 1112.4734469949.

The spelling of 1376793990 in words is "one billion, three hundred seventy-six million, seven hundred ninety-three thousand, nine hundred ninety".