40077792 has 108 divisors (see below), whose sum is σ = 119429856. Its totient is φ = 12735360.

The previous prime is 40077773. The next prime is 40077809. The reversal of 40077792 is 29777004.

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

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 17 ways as a sum of consecutive naturals, for example, 598143 + ... + 598209.

It is an arithmetic number, because the mean of its divisors is an integer number (1105832).

Almost surely, 2^40077792 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 40077792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59714928).

40077792 is an abundant number, since it is smaller than the sum of its proper divisors (79352064).

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

40077792 is a wasteful number, since it uses less digits than its factorization.

40077792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 103 counting only the distinct ones).

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

The square root of 40077792 is about 6330.7023307055. The cubic root of 40077792 is about 342.2167498485.

The spelling of 40077792 in words is "forty million, seventy-seven thousand, seven hundred ninety-two".