387776400 has 240 divisors, whose sum is σ = 1403213760. Its totient is φ = 90675200.

The previous prime is 387776399. The next prime is 387776407. The reversal of 387776400 is 4677783.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (387776407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382294 + ... + 383306.

It is an arithmetic number, because the mean of its divisors is an integer number (5846724).

Almost surely, 2^387776400 is an apocalyptic number.

387776400 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 387776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701606880).

387776400 is an abundant number, since it is smaller than the sum of its proper divisors (1015437360).

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

387776400 is a wasteful number, since it uses less digits than its factorization.

387776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 387776400 is about 19692.0390005708. The cubic root of 387776400 is about 729.2231681206.

The spelling of 387776400 in words is "three hundred eighty-seven million, seven hundred seventy-six thousand, four hundred".