376820640 has 384 divisors, whose sum is σ = 1598123520. Its totient is φ = 80953344.

The previous prime is 376820603. The next prime is 376820677. The reversal of 376820640 is 46028673.

376820640 is a `hidden beast` number, since 3 + 7 + 6 + 8 + 2 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (376820603) and next prime (376820677).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 376820595 and 376820604.

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, 513714 + ... + 514446.

It is an arithmetic number, because the mean of its divisors is an integer number (4161780).

Almost surely, 2^376820640 is an apocalyptic number.

376820640 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 376820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799061760).

376820640 is an abundant number, since it is smaller than the sum of its proper divisors (1221302880).

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

376820640 is a wasteful number, since it uses less digits than its factorization.

376820640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 376820640 is about 19411.8685344817. The cubic root of 376820640 is about 722.2899314648.

The spelling of 376820640 in words is "three hundred seventy-six million, eight hundred twenty thousand, six hundred forty".