380778179040 has 768 divisors, whose sum is σ = 1546517145600. Its totient is φ = 85709684736.

The previous prime is 380778179017. The next prime is 380778179053. The reversal of 380778179040 is 40971877083.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 659927232 + ... + 659927808.

It is an arithmetic number, because the mean of its divisors is an integer number (2013694200).

Almost surely, 2^380778179040 is an apocalyptic number.

380778179040 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 380778179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773258572800).

380778179040 is an abundant number, since it is smaller than the sum of its proper divisors (1165738966560).

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

380778179040 is a wasteful number, since it uses less digits than its factorization.

380778179040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 380778179040 in words is "three hundred eighty billion, seven hundred seventy-eight million, one hundred seventy-nine thousand, forty".