821290080 has 96 divisors (see below), whose sum is σ = 2786089824. Its totient is φ = 202162176.

The previous prime is 821290061. The next prime is 821290081. The reversal of 821290080 is 80092128.

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

It is a super-3 number, since 3×821290080³ (a number of 28 digits) contains 333 as substring.

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 (821290081) 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, 59569 + ... + 72048.

It is an arithmetic number, because the mean of its divisors is an integer number (29021769).

Almost surely, 2^821290080 is an apocalyptic number.

821290080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

821290080 is an abundant number, since it is smaller than the sum of its proper divisors (1964799744).

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

821290080 is a wasteful number, since it uses less digits than its factorization.

821290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131648 (or 131640 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 821290080 is about 28658.1590476430. The cubic root of 821290080 is about 936.4807596718.

The spelling of 821290080 in words is "eight hundred twenty-one million, two hundred ninety thousand, eighty".