77329080 has 160 divisors (see below), whose sum is σ = 269200800. Its totient is φ = 19885824.

The previous prime is 77329027. The next prime is 77329081. The reversal of 77329080 is 8092377.

It is a super-2 number, since 2×77329080² = 11959573227292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77329081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93549 + ... + 94371.

It is an arithmetic number, because the mean of its divisors is an integer number (1682505).

Almost surely, 2^77329080 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 77329080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134600400).

77329080 is an abundant number, since it is smaller than the sum of its proper divisors (191871720).

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

77329080 is a wasteful number, since it uses less digits than its factorization.

77329080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 77329080 is about 8793.6954689141. The cubic root of 77329080 is about 426.0372909232.

The spelling of 77329080 in words is "seventy-seven million, three hundred twenty-nine thousand, eighty".