77261364 has 72 divisors (see below), whose sum is σ = 204798048. Its totient is φ = 25466400.

The previous prime is 77261363. The next prime is 77261369. The reversal of 77261364 is 46316277.

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 (77261363) 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 23 ways as a sum of consecutive naturals, for example, 97779 + ... + 98565.

Almost surely, 2^77261364 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 77261364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102399024).

77261364 is an abundant number, since it is smaller than the sum of its proper divisors (127536684).

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

77261364 is a wasteful number, since it uses less digits than its factorization.

77261364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 893 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 77261364 is about 8789.8443672229. The cubic root of 77261364 is about 425.9128962956.

The spelling of 77261364 in words is "seventy-seven million, two hundred sixty-one thousand, three hundred sixty-four".