387788000 has 96 divisors (see below), whose sum is σ = 985944960. Its totient is φ = 149721600.

The previous prime is 387787987. The next prime is 387788017. The reversal of 387788000 is 887783.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114329 + ... + 117671.

It is an arithmetic number, because the mean of its divisors is an integer number (10270260).

Almost surely, 2^387788000 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 387788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492972480).

387788000 is an abundant number, since it is smaller than the sum of its proper divisors (598156960).

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

387788000 is a wasteful number, since it uses less digits than its factorization.

387788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 387788000 is about 19692.3335336369. Note that the first 3 decimals coincide. The cubic root of 387788000 is about 729.2304394110.

The spelling of 387788000 in words is "three hundred eighty-seven million, seven hundred eighty-eight thousand".