823104480 has 96 divisors (see below), whose sum is σ = 2828504448. Its totient is φ = 199539200.

The previous prime is 823104463. The next prime is 823104481. The reversal of 823104480 is 84401328.

823104480 = T₁₃₅₂₀ + T₁₃₅₂₁ + ... + T₁₃₅₂₈.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823104481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72666 + ... + 83225.

It is an arithmetic number, because the mean of its divisors is an integer number (29463588).

Almost surely, 2^823104480 is an apocalyptic number.

823104480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823104480 is an abundant number, since it is smaller than the sum of its proper divisors (2005399968).

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

823104480 is a wasteful number, since it uses less digits than its factorization.

823104480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155920 (or 155912 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 823104480 is about 28689.7974897001. The cubic root of 823104480 is about 937.1698791463.

The spelling of 823104480 in words is "eight hundred twenty-three million, one hundred four thousand, four hundred eighty".