77957968 has 40 divisors (see below), whose sum is σ = 168623136. Its totient is φ = 34608000.

The previous prime is 77957951. The next prime is 77957983. The reversal of 77957968 is 86975977.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2418 + ... + 12718.

Almost surely, 2^77957968 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 77957968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84311568).

77957968 is an abundant number, since it is smaller than the sum of its proper divisors (90665168).

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

77957968 is a wasteful number, since it uses less digits than its factorization.

77957968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363 (or 10357 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 58.

The square root of 77957968 is about 8829.3809522525. The cubic root of 77957968 is about 427.1891072049.

Subtracting 77957968 from its reverse (86975977), we obtain a square (9018009 = 3003²).

The spelling of 77957968 in words is "seventy-seven million, nine hundred fifty-seven thousand, nine hundred sixty-eight".