77681304 has 96 divisors (see below), whose sum is σ = 223423200. Its totient is φ = 24330240.

The previous prime is 77681287. The next prime is 77681309. The reversal of 77681304 is 40318677.

It is a super-2 number, since 2×77681304² = 12068769982280832, 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 (77681309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100632 + ... + 101400.

It is an arithmetic number, because the mean of its divisors is an integer number (2327325).

Almost surely, 2^77681304 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 77681304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111711600).

77681304 is an abundant number, since it is smaller than the sum of its proper divisors (145741896).

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

77681304 is a wasteful number, since it uses less digits than its factorization.

77681304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 77681304 is about 8813.6997906668. The cubic root of 77681304 is about 426.6831596272.

The spelling of 77681304 in words is "seventy-seven million, six hundred eighty-one thousand, three hundred four".