825477120 has 432 divisors, whose sum is σ = 3156409620. Its totient is φ = 199360512.

The previous prime is 825477053. The next prime is 825477137. The reversal of 825477120 is 21774528.

It can be written as a sum of positive squares in 6 ways, for example, as 148644864 + 676832256 = 12192^2 + 26016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15575014 + ... + 15575066.

Almost surely, 2^825477120 is an apocalyptic number.

825477120 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 825477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578204810).

825477120 is an abundant number, since it is smaller than the sum of its proper divisors (2330932500).

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

825477120 is a wasteful number, since it uses less digits than its factorization.

825477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 825477120 is about 28731.1176253205. The cubic root of 825477120 is about 938.0694950504.

The spelling of 825477120 in words is "eight hundred twenty-five million, four hundred seventy-seven thousand, one hundred twenty".