76961577 has 32 divisors (see below), whose sum is σ = 128461824. Its totient is φ = 39816000.

The previous prime is 76961543. The next prime is 76961579. The reversal of 76961577 is 77516967.

It is a happy number.

It is not a de Polignac number, because 76961577 - 2¹¹ = 76959529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76961579) 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 31 ways as a sum of consecutive naturals, for example, 72702 + ... + 73752.

It is an arithmetic number, because the mean of its divisors is an integer number (4014432).

Almost surely, 2^76961577 is an apocalyptic number.

76961577 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

76961577 is a deficient number, since it is larger than the sum of its proper divisors (51500247).

76961577 is a wasteful number, since it uses less digits than its factorization.

76961577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389.

The product of its digits is 555660, while the sum is 48.

The square root of 76961577 is about 8772.7747605874. The cubic root of 76961577 is about 425.3613112008.

The spelling of 76961577 in words is "seventy-six million, nine hundred sixty-one thousand, five hundred seventy-seven".