77007008 has 48 divisors (see below), whose sum is σ = 172889640. Its totient is φ = 33447936.

The previous prime is 77007001. The next prime is 77007011. The reversal of 77007008 is 80070077.

It can be written as a sum of positive squares in 4 ways, for example, as 41628304 + 35378704 = 6452^2 + 5948^2 .

It is a super-2 number, since 2×77007008² = 11860158562224128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77007001) 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, 1628 + ... + 12516.

Almost surely, 2^77007008 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 77007008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86444820).

77007008 is an abundant number, since it is smaller than the sum of its proper divisors (95882632).

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

77007008 is a wasteful number, since it uses less digits than its factorization.

77007008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10929 (or 10921 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 29.

The square root of 77007008 is about 8775.3636961667. The cubic root of 77007008 is about 425.4449927350. Note that the first 3 decimals are identical.

The spelling of 77007008 in words is "seventy-seven million, seven thousand, eight".