820477416 has 32 divisors (see below), whose sum is σ = 2237666400. Its totient is φ = 248629440.

The previous prime is 820477393. The next prime is 820477417. The reversal of 820477416 is 614774028.

It is not an unprimeable number, because it can be changed into a prime (820477417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1553671 + ... + 1554198.

It is an arithmetic number, because the mean of its divisors is an integer number (69927075).

Almost surely, 2^820477416 is an apocalyptic number.

It is an amenable number.

820477416 is an abundant number, since it is smaller than the sum of its proper divisors (1417188984).

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

820477416 is a wasteful number, since it uses less digits than its factorization.

820477416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107889 (or 3107885 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 820477416 is about 28643.9769585161. The cubic root of 820477416 is about 936.1717761292.

The spelling of 820477416 in words is "eight hundred twenty million, four hundred seventy-seven thousand, four hundred sixteen".