82773690 has 48 divisors (see below), whose sum is σ = 209690208. Its totient is φ = 20908512.

The previous prime is 82773679. The next prime is 82773701. The reversal of 82773690 is 9637728.

It is an interprime number because it is at equal distance from previous prime (82773679) and next prime (82773701).

It is a super-2 number, since 2×82773690² = 13702967512432200, which contains 22 as substring.

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, 7009 + ... + 14651.

It is an arithmetic number, because the mean of its divisors is an integer number (4368546).

Almost surely, 2^82773690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82773690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104845104).

82773690 is an abundant number, since it is smaller than the sum of its proper divisors (126916518).

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

82773690 is a wasteful number, since it uses less digits than its factorization.

82773690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691 (or 7672 counting only the distinct ones).

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

The square root of 82773690 is about 9098.0047263122. The cubic root of 82773690 is about 435.8102483506.

The spelling of 82773690 in words is "eighty-two million, seven hundred seventy-three thousand, six hundred ninety".