377887680 has 280 divisors, whose sum is σ = 1371965760. Its totient is φ = 98703360.

The previous prime is 377887673. The next prime is 377887687. The reversal of 377887680 is 86788773.

It is an interprime number because it is at equal distance from previous prime (377887673) and next prime (377887687).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377887687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1581001 + ... + 1581239.

Almost surely, 2^377887680 is an apocalyptic number.

377887680 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 377887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685982880).

377887680 is an abundant number, since it is smaller than the sum of its proper divisors (994078080).

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

377887680 is a wasteful number, since it uses less digits than its factorization.

377887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 377887680 is about 19439.3333219018. Note that the first 4 decimals coincide. The cubic root of 377887680 is about 722.9710565022.

The spelling of 377887680 in words is "three hundred seventy-seven million, eight hundred eighty-seven thousand, six hundred eighty".