77008000 has 64 divisors (see below), whose sum is σ = 191500920. Its totient is φ = 30796800.

The previous prime is 77007971. The next prime is 77008003. The reversal of 77008000 is 80077.

It can be written as a sum of positive squares in 4 ways, for example, as 32171584 + 44836416 = 5672^2 + 6696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (77008003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13594 + ... + 18406.

Almost surely, 2^77008000 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 77008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95750460).

77008000 is an abundant number, since it is smaller than the sum of its proper divisors (114492920).

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

77008000 is an equidigital number, since it uses as much as digits as its factorization.

77008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 77008000 is about 8775.4202178585. The cubic root of 77008000 is about 425.4468195800.

Adding to 77008000 its reverse (80077), we get a palindrome (77088077).

It can be divided in two parts, 7 and 7008000, that added together give a palindrome (7008007).

The spelling of 77008000 in words is "seventy-seven million, eight thousand".