1232078400 has 504 divisors, whose sum is σ = 5306446080. Its totient is φ = 264683520.

The previous prime is 1232078387. The next prime is 1232078411. The reversal of 1232078400 is 48702321.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1713241 + ... + 1713959.

Almost surely, 2^1232078400 is an apocalyptic number.

1232078400 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 1232078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653223040).

1232078400 is an abundant number, since it is smaller than the sum of its proper divisors (4074367680).

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

1232078400 is a wasteful number, since it uses less digits than its factorization.

1232078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 753 counting only the distinct ones).

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

The square root of 1232078400 is about 35100.9743454509. The cubic root of 1232078400 is about 1072.0444215646.

The spelling of 1232078400 in words is "one billion, two hundred thirty-two million, seventy-eight thousand, four hundred".