77704000 has 112 divisors (see below), whose sum is σ = 210165696. Its totient is φ = 28224000.

The previous prime is 77703973. The next prime is 77704007. The reversal of 77704000 is 40777.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77704007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87559 + ... + 88441.

Almost surely, 2^77704000 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 77704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105082848).

77704000 is an abundant number, since it is smaller than the sum of its proper divisors (132461696).

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

77704000 is a wasteful number, since it uses less digits than its factorization.

77704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 25.

The square root of 77704000 is about 8814.9872376538. The cubic root of 77704000 is about 426.7247099854.

Adding to 77704000 its reverse (40777), we get a palindrome (77744777).

The spelling of 77704000 in words is "seventy-seven million, seven hundred four thousand".