376783680 has 448 divisors, whose sum is σ = 1556674560. Its totient is φ = 74981376.

The previous prime is 376783669. The next prime is 376783709. The reversal of 376783680 is 86387673.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1659727 + ... + 1659953.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 2^376783680 is an apocalyptic number.

376783680 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 376783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778337280).

376783680 is an abundant number, since it is smaller than the sum of its proper divisors (1179890880).

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

376783680 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 376783680 = (866877033)₉.

376783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 376783680 is about 19410.9165162287. The cubic root of 376783680 is about 722.2663157125.

The spelling of 376783680 in words is "three hundred seventy-six million, seven hundred eighty-three thousand, six hundred eighty".