823150400 has 84 divisors (see below), whose sum is σ = 2031492000. Its totient is φ = 328281600.

The previous prime is 823150343. The next prime is 823150429. The reversal of 823150400 is 4051328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 797885 + ... + 798915.

Almost surely, 2^823150400 is an apocalyptic number.

823150400 is a gapful number since it is divisible by the number (80) 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 823150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015746000).

823150400 is an abundant number, since it is smaller than the sum of its proper divisors (1208341600).

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

823150400 is a wasteful number, since it uses less digits than its factorization.

823150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 823150400 is about 28690.5977630303. The cubic root of 823150400 is about 937.1873066790.

The spelling of 823150400 in words is "eight hundred twenty-three million, one hundred fifty thousand, four hundred".