378356760 has 192 divisors, whose sum is σ = 1312627680. Its totient is φ = 94187520.

The previous prime is 378356753. The next prime is 378356773. The reversal of 378356760 is 67653873.

378356760 is a `hidden beast` number, since 3 + 7 + 83 + 567 + 6 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 1291174 + ... + 1291466.

Almost surely, 2^378356760 is an apocalyptic number.

378356760 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 378356760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656313840).

378356760 is an abundant number, since it is smaller than the sum of its proper divisors (934270920).

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

378356760 is a wasteful number, since it uses less digits than its factorization.

378356760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 378356760 is about 19451.3948085992. The cubic root of 378356760 is about 723.2700792491.

The spelling of 378356760 in words is "three hundred seventy-eight million, three hundred fifty-six thousand, seven hundred sixty".