820677390 has 64 divisors (see below), whose sum is σ = 2178501696. Its totient is φ = 196549632.

The previous prime is 820677373. The next prime is 820677437. The reversal of 820677390 is 93776028.

It is a super-2 number, since 2×820677390² = 1347022756914424200, which contains 22 as substring.

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, 14007 + ... + 42866.

It is an arithmetic number, because the mean of its divisors is an integer number (34039089).

Almost surely, 2^820677390 is an apocalyptic number.

820677390 is an abundant number, since it is smaller than the sum of its proper divisors (1357824306).

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

820677390 is a wasteful number, since it uses less digits than its factorization.

820677390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56933.

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 820677390 is about 28647.4674273312. The cubic root of 820677390 is about 936.2478273013.

The spelling of 820677390 in words is "eight hundred twenty million, six hundred seventy-seven thousand, three hundred ninety".