792212400 has 450 divisors, whose sum is σ = 3314008500. Its totient is φ = 180714240.

The previous prime is 792212381. The next prime is 792212497. The reversal of 792212400 is 4212297.

792212400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (450).

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 89 ways as a sum of consecutive naturals, for example, 1587351 + ... + 1587849.

Almost surely, 2^792212400 is an apocalyptic number.

792212400 is a gapful number since it is divisible by the number (70) 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 792212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657004250).

792212400 is an abundant number, since it is smaller than the sum of its proper divisors (2521796100).

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

792212400 is a wasteful number, since it uses less digits than its factorization.

792212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 792212400 is about 28146.2679586477. The cubic root of 792212400 is about 925.2957028790.

Adding to 792212400 its reverse (4212297), we get a palindrome (796424697).

The spelling of 792212400 in words is "seven hundred ninety-two million, two hundred twelve thousand, four hundred".