76938540 has 96 divisors (see below), whose sum is σ = 252908544. Its totient is φ = 17107200.

The previous prime is 76938539. The next prime is 76938541. The reversal of 76938540 is 4583967.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76938539) and next prime (76938541).

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 = 76938492 and 76938501.

It is not an unprimeable number, because it can be changed into a prime (76938541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13065 + ... + 18015.

It is an arithmetic number, because the mean of its divisors is an integer number (2634464).

Almost surely, 2^76938540 is an apocalyptic number.

76938540 is a gapful number since it is divisible by the number (70) 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 76938540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126454272).

76938540 is an abundant number, since it is smaller than the sum of its proper divisors (175970004).

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

76938540 is a wasteful number, since it uses less digits than its factorization.

76938540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 76938540 is about 8771.4616797886. The cubic root of 76938540 is about 425.3188656638.

The spelling of 76938540 in words is "seventy-six million, nine hundred thirty-eight thousand, five hundred forty".