76462740 has 144 divisors (see below), whose sum is σ = 244048896. Its totient is φ = 19353600.

The previous prime is 76462723. The next prime is 76462747. The reversal of 76462740 is 4726467.

76462740 is a `hidden beast` number, since 7 + 646 + 2 + 7 + 4 + 0 = 666.

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 = 76462695 and 76462704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76462747) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 396084 + ... + 396276.

It is an arithmetic number, because the mean of its divisors is an integer number (1694784).

Almost surely, 2^76462740 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 76462740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122024448).

76462740 is an abundant number, since it is smaller than the sum of its proper divisors (167586156).

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

76462740 is a wasteful number, since it uses less digits than its factorization.

76462740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 76462740 is about 8744.2975704170. The cubic root of 76462740 is about 424.4403059231.

It can be divided in two parts, 764 and 62740, that added together give a square (63504 = 252²).

The spelling of 76462740 in words is "seventy-six million, four hundred sixty-two thousand, seven hundred forty".