77616001 has 2 divisors, whose sum is σ = 77616002. Its totient is φ = 77616000.

The previous prime is 77615987. The next prime is 77616017. The reversal of 77616001 is 10061677.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77422401 + 193600 = 8799^2 + 440^2 .

It is a cyclic number.

It is not a de Polignac number, because 77616001 - 2¹⁹ = 77091713 is a prime.

It is a super-2 number, since 2×77616001² = 12048487222464002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (77616031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38808000 + 38808001.

It is an arithmetic number, because the mean of its divisors is an integer number (38808001).

Almost surely, 2^77616001 is an apocalyptic number.

It is an amenable number.

77616001 is a deficient number, since it is larger than the sum of its proper divisors (1).

77616001 is an equidigital number, since it uses as much as digits as its factorization.

77616001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 77616001 is about 8809.9943813830. The cubic root of 77616001 is about 426.5635619871.

Adding to 77616001 its reverse (10061677), we get a palindrome (87677678).

The spelling of 77616001 in words is "seventy-seven million, six hundred sixteen thousand, one".