820426740 has 96 divisors (see below), whose sum is σ = 2631659520. Its totient is φ = 187076736.

The previous prime is 820426729. The next prime is 820426753. The reversal of 820426740 is 47624028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192351 + ... + 196569.

It is an arithmetic number, because the mean of its divisors is an integer number (27413120).

Almost surely, 2^820426740 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 820426740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315829760).

820426740 is an abundant number, since it is smaller than the sum of its proper divisors (1811232780).

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

820426740 is a wasteful number, since it uses less digits than its factorization.

820426740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 820426740 is about 28643.0923609864. The cubic root of 820426740 is about 936.1525018154.

The spelling of 820426740 in words is "eight hundred twenty million, four hundred twenty-six thousand, seven hundred forty".