77280601672033 has 16 divisors (see below), whose sum is σ = 78465559962960. Its totient is φ = 76104489517056.

The previous prime is 77280601671991. The next prime is 77280601672091. The reversal of 77280601672033 is 33027610608277.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3233767799824 + 74046833872209 = 1798268^2 + 8605047^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77280601672033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77280601672733) 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, 337124091 + ... + 337353247.

It is an arithmetic number, because the mean of its divisors is an integer number (4904097497685).

Almost surely, 2^{77280601672033} is an apocalyptic number.

It is an amenable number.

77280601672033 is a deficient number, since it is larger than the sum of its proper divisors (1184958290927).

77280601672033 is a wasteful number, since it uses less digits than its factorization.

77280601672033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248436.

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 77280601672033 in words is "seventy-seven trillion, two hundred eighty billion, six hundred one million, six hundred seventy-two thousand, thirty-three".