2077000832 has 64 divisors (see below), whose sum is σ = 4366742400. Its totient is φ = 982063104.

The previous prime is 2077000787. The next prime is 2077000859. The reversal of 2077000832 is 2380007702.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2077000832² = 8627864912257384448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2077000795 and 2077000804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258053 + ... + 265979.

It is an arithmetic number, because the mean of its divisors is an integer number (68230350).

Almost surely, 2^2077000832 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 2077000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183371200).

2077000832 is an abundant number, since it is smaller than the sum of its proper divisors (2289741568).

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

2077000832 is an equidigital number, since it uses as much as digits as its factorization.

2077000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 2077000832 is about 45574.1245884109. The cubic root of 2077000832 is about 1275.8870325137.

The spelling of 2077000832 in words is "two billion, seventy-seven million, eight hundred thirty-two", and thus it is an aban number.