377777000 has 128 divisors (see below), whose sum is σ = 949104000. Its totient is φ = 140313600.

The previous prime is 377776969. The next prime is 377777003. The reversal of 377777000 is 777773.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (377777003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120832 + ... + 1121168.

It is an arithmetic number, because the mean of its divisors is an integer number (7414875).

Almost surely, 2^377777000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474552000).

377777000 is an abundant number, since it is smaller than the sum of its proper divisors (571327000).

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

377777000 is a wasteful number, since it uses less digits than its factorization.

377777000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 50421, while the sum is 38.

The square root of 377777000 is about 19436.4863079724. The cubic root of 377777000 is about 722.9004656412.

The spelling of 377777000 in words is "three hundred seventy-seven million, seven hundred seventy-seven thousand".