75613977 has 54 divisors (see below), whose sum is σ = 125439678. Its totient is φ = 43732224.

The previous prime is 75613973. The next prime is 75614003. The reversal of 75613977 is 77931657.

It can be written as a sum of positive squares in 3 ways, for example, as 53231616 + 22382361 = 7296^2 + 4731^2 .

It is not a de Polignac number, because 75613977 - 2² = 75613973 is a prime.

Its product of digits (277830) is a multiple of the sum of its prime factors (135).

It is not an unprimeable number, because it can be changed into a prime (75613973) 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 53 ways as a sum of consecutive naturals, for example, 2043603 + ... + 2043639.

It is an arithmetic number, because the mean of its divisors is an integer number (2322957).

Almost surely, 2^75613977 is an apocalyptic number.

It is an amenable number.

75613977 is a deficient number, since it is larger than the sum of its proper divisors (49825701).

75613977 is a wasteful number, since it uses less digits than its factorization.

75613977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 76 counting only the distinct ones).

The product of its digits is 277830, while the sum is 45.

The square root of 75613977 is about 8695.6297644276. The cubic root of 75613977 is about 422.8639805442.

The spelling of 75613977 in words is "seventy-five million, six hundred thirteen thousand, nine hundred seventy-seven".