820177416 has 96 divisors (see below), whose sum is σ = 2301062400. Its totient is φ = 263640960.

The previous prime is 820177381. The next prime is 820177429. The reversal of 820177416 is 614771028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 934770 + ... + 935646.

It is an arithmetic number, because the mean of its divisors is an integer number (23969400).

Almost surely, 2^820177416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820177416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150531200).

820177416 is an abundant number, since it is smaller than the sum of its proper divisors (1480884984).

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

820177416 is a wasteful number, since it uses less digits than its factorization.

820177416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 820177416 is about 28638.7397767430. The cubic root of 820177416 is about 936.0576613612.

The spelling of 820177416 in words is "eight hundred twenty million, one hundred seventy-seven thousand, four hundred sixteen".