820124880 has 80 divisors (see below), whose sum is σ = 2691952704. Its totient is φ = 205834240.

The previous prime is 820124867. The next prime is 820124887. The reversal of 820124880 is 88421028.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820124887) 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, 96426 + ... + 104585.

Almost surely, 2^820124880 is an apocalyptic number.

820124880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820124880 is an abundant number, since it is smaller than the sum of its proper divisors (1871827824).

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

820124880 is a wasteful number, since it uses less digits than its factorization.

820124880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201044 (or 201038 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 820124880 is about 28637.8225429239. The cubic root of 820124880 is about 936.0376747199.

The spelling of 820124880 in words is "eight hundred twenty million, one hundred twenty-four thousand, eight hundred eighty".