76538742 has 32 divisors (see below), whose sum is σ = 176504832. Its totient is φ = 21673344.

The previous prime is 76538741. The next prime is 76538747. The reversal of 76538742 is 24783567.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 76538694 and 76538703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76538741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3318 + ... + 12809.

It is an arithmetic number, because the mean of its divisors is an integer number (5515776).

Almost surely, 2^76538742 is an apocalyptic number.

76538742 is an abundant number, since it is smaller than the sum of its proper divisors (99966090).

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

76538742 is a wasteful number, since it uses less digits than its factorization.

76538742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16252.

The product of its digits is 282240, while the sum is 42.

The square root of 76538742 is about 8748.6422946649. The cubic root of 76538742 is about 424.5808869435.

The spelling of 76538742 in words is "seventy-six million, five hundred thirty-eight thousand, seven hundred forty-two".