376883020800 has 2640 divisors, whose sum is σ = 1733698036224. Its totient is φ = 79626240000.

The previous prime is 376883020763. The next prime is 376883020817. The reversal of 376883020800 is 8020388673.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×376883020800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9192268780 + ... + 9192268820.

Almost surely, 2^376883020800 is an apocalyptic number.

376883020800 is a gapful number since it is divisible by the number (30) 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 376883020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866849018112).

376883020800 is an abundant number, since it is smaller than the sum of its proper divisors (1356815015424).

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

376883020800 is a wasteful number, since it uses less digits than its factorization.

376883020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 376883020800 in words is "three hundred seventy-six billion, eight hundred eighty-three million, twenty thousand, eight hundred".