1082377400 has 144 divisors (see below), whose sum is σ = 2815623360. Its totient is φ = 386380800.

The previous prime is 1082377399. The next prime is 1082377421. The reversal of 1082377400 is 47732801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1047284 + ... + 1048316.

It is an arithmetic number, because the mean of its divisors is an integer number (19552940).

Almost surely, 2^1082377400 is an apocalyptic number.

1082377400 is a gapful number since it is divisible by the number (10) 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 1082377400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407811680).

1082377400 is an abundant number, since it is smaller than the sum of its proper divisors (1733245960).

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

1082377400 is a wasteful number, since it uses less digits than its factorization.

1082377400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 1082377400 is about 32899.5045555400. The cubic root of 1082377400 is about 1026.7378490216.

The spelling of 1082377400 in words is "one billion, eighty-two million, three hundred seventy-seven thousand, four hundred".