76793040 has 60 divisors (see below), whose sum is σ = 257899044. Its totient is φ = 20477952.

The previous prime is 76793039. The next prime is 76793047. The reversal of 76793040 is 4039767.

It can be written as a sum of positive squares in 2 ways, for example, as 53056656 + 23736384 = 7284^2 + 4872^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 76792986 and 76793004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76793047) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 52609 + ... + 54048.

Almost surely, 2^76793040 is an apocalyptic number.

It is an amenable number.

76793040 is an abundant number, since it is smaller than the sum of its proper divisors (181106004).

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

76793040 is a wasteful number, since it uses less digits than its factorization.

76793040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106676 (or 106667 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 76793040 is about 8763.1638122313. The cubic root of 76793040 is about 425.0505868274.

The spelling of 76793040 in words is "seventy-six million, seven hundred ninety-three thousand, forty".