380420820780 has 1728 divisors, whose sum is σ = 1612062756864. Its totient is φ = 65802240000.

The previous prime is 380420820727. The next prime is 380420820803. The reversal of 380420820780 is 87028024083.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3766542730 + ... + 3766542830.

It is an arithmetic number, because the mean of its divisors is an integer number (932906688).

Almost surely, 2^380420820780 is an apocalyptic number.

380420820780 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 380420820780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806031378432).

380420820780 is an abundant number, since it is smaller than the sum of its proper divisors (1231641936084).

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

380420820780 is a wasteful number, since it uses less digits than its factorization.

380420820780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 380420820780 in words is "three hundred eighty billion, four hundred twenty million, eight hundred twenty thousand, seven hundred eighty".