77081072 has 40 divisors (see below), whose sum is σ = 155317440. Its totient is φ = 37013760.

The previous prime is 77081071. The next prime is 77081083. The reversal of 77081072 is 27018077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77081071) 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 7 ways as a sum of consecutive naturals, for example, 125438 + ... + 126050.

It is an arithmetic number, because the mean of its divisors is an integer number (3882936).

Almost surely, 2^77081072 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 77081072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77658720).

77081072 is an abundant number, since it is smaller than the sum of its proper divisors (78236368).

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

77081072 is a wasteful number, since it uses less digits than its factorization.

77081072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 32.

The square root of 77081072 is about 8779.5826780092. The cubic root of 77081072 is about 425.5813442272.

The spelling of 77081072 in words is "seventy-seven million, eighty-one thousand, seventy-two".