77003680 has 48 divisors (see below), whose sum is σ = 195920424. Its totient is φ = 28431360.

The previous prime is 77003677. The next prime is 77003683. The reversal of 77003680 is 8630077.

It is an interprime number because it is at equal distance from previous prime (77003677) and next prime (77003683).

It can be written as a sum of positive squares in 4 ways, for example, as 29724304 + 47279376 = 5452^2 + 6876^2 .

It is not an unprimeable number, because it can be changed into a prime (77003683) 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, 16431 + ... + 20590.

Almost surely, 2^77003680 is an apocalyptic number.

It is an amenable number.

77003680 is an abundant number, since it is smaller than the sum of its proper divisors (118916744).

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

77003680 is a wasteful number, since it uses less digits than its factorization.

77003680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37049 (or 37041 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 77003680 is about 8775.1740723475. The cubic root of 77003680 is about 425.4388638498.

The spelling of 77003680 in words is "seventy-seven million, three thousand, six hundred eighty".