824878080 has 616 divisors, whose sum is σ = 3382904952. Its totient is φ = 191102976.

The previous prime is 824878031. The next prime is 824878121. The reversal of 824878080 is 80878428.

It can be written as a sum of positive squares in 4 ways, for example, as 60466176 + 764411904 = 7776^2 + 27648^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 48522232 + ... + 48522248.

Almost surely, 2^824878080 is an apocalyptic number.

824878080 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 824878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691452476).

824878080 is an abundant number, since it is smaller than the sum of its proper divisors (2558026872).

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

824878080 is a wasteful number, since it uses less digits than its factorization.

824878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 824878080 is about 28720.6907994916. The cubic root of 824878080 is about 937.8425244402.

The spelling of 824878080 in words is "eight hundred twenty-four million, eight hundred seventy-eight thousand, eighty".