77692368 has 80 divisors (see below), whose sum is σ = 227554880. Its totient is φ = 22643712.

The previous prime is 77692361. The next prime is 77692427. The reversal of 77692368 is 86329677.

It is a super-2 number, since 2×77692368² = 12072208090894848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77692361) 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 15 ways as a sum of consecutive naturals, for example, 8580 + ... + 15132.

It is an arithmetic number, because the mean of its divisors is an integer number (2844436).

Almost surely, 2^77692368 is an apocalyptic number.

77692368 is a gapful number since it is divisible by the number (78) 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 77692368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113777440).

77692368 is an abundant number, since it is smaller than the sum of its proper divisors (149862512).

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

77692368 is a wasteful number, since it uses less digits than its factorization.

77692368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6596 (or 6590 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 77692368 is about 8814.3274275466. The cubic root of 77692368 is about 426.7034158885.

The spelling of 77692368 in words is "seventy-seven million, six hundred ninety-two thousand, three hundred sixty-eight".