377772000 has 96 divisors (see below), whose sum is σ = 1237620384. Its totient is φ = 100736000.

The previous prime is 377771993. The next prime is 377772001. The reversal of 377772000 is 277773.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377772001) 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 15 ways as a sum of consecutive naturals, for example, 3741 + ... + 27740.

It is an arithmetic number, because the mean of its divisors is an integer number (12891879).

Almost surely, 2^377772000 is an apocalyptic number.

377772000 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 377772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618810192).

377772000 is an abundant number, since it is smaller than the sum of its proper divisors (859848384).

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

377772000 is a wasteful number, since it uses less digits than its factorization.

377772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31509 (or 31491 counting only the distinct ones).

The product of its (nonzero) digits is 14406, while the sum is 33.

The square root of 377772000 is about 19436.3576834756. The cubic root of 377772000 is about 722.8972763538.

The spelling of 377772000 in words is "three hundred seventy-seven million, seven hundred seventy-two thousand".