2772792 has 80 divisors (see below), whose sum is σ = 8494200. Its totient is φ = 838080.

The previous prime is 2772767. The next prime is 2772827. The reversal of 2772792 is 2972772.

2772792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2772792⁴ (a number of 27 digits) contains 4444 as substring.

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

It is a d-powerful number, because it can be written as 2³ + 7⁵ + 7⁵ + 2¹⁹ + 7⁶ + 9² + 2²¹ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6934 + ... + 7322.

2^2772792 is an apocalyptic number.

2772792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247100).

2772792 is an abundant number, since it is smaller than the sum of its proper divisors (5721408).

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

2772792 is a wasteful number, since it uses less digits than its factorization.

2772792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 405 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 2772792 is about 1665.1702615649. The cubic root of 2772792 is about 140.4879571581.

The spelling of 2772792 in words is "two million, seven hundred seventy-two thousand, seven hundred ninety-two".