1032782400 has 420 divisors, whose sum is σ = 4094936692. Its totient is φ = 253808640.

The previous prime is 1032782393. The next prime is 1032782417. The reversal of 1032782400 is 42872301.

It can be written as a sum of positive squares in 6 ways, for example, as 429981696 + 602800704 = 20736^2 + 24552^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1684494 + ... + 1685106.

Almost surely, 2^1032782400 is an apocalyptic number.

1032782400 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 1032782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047468346).

1032782400 is an abundant number, since it is smaller than the sum of its proper divisors (3062154292).

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

1032782400 is a wasteful number, since it uses less digits than its factorization.

1032782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1032782400 is about 32136.9320253194. The cubic root of 1032782400 is about 1010.8101854638.

The spelling of 1032782400 in words is "one billion, thirty-two million, seven hundred eighty-two thousand, four hundred".