77608748 has 72 divisors (see below), whose sum is σ = 166852224. Its totient is φ = 31449600.

The previous prime is 77608747. The next prime is 77608753. The reversal of 77608748 is 84780677.

It is a super-2 number, since 2×77608748² = 12046235532255008, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (77608747) 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 23 ways as a sum of consecutive naturals, for example, 321908 + ... + 322148.

It is an arithmetic number, because the mean of its divisors is an integer number (2317392).

Almost surely, 2^77608748 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 77608748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83426112).

77608748 is an abundant number, since it is smaller than the sum of its proper divisors (89243476).

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

77608748 is a wasteful number, since it uses less digits than its factorization.

77608748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 47.

The square root of 77608748 is about 8809.5827369973. The cubic root of 77608748 is about 426.5502745126.

The spelling of 77608748 in words is "seventy-seven million, six hundred eight thousand, seven hundred forty-eight".