772021400033 has 16 divisors (see below), whose sum is σ = 845784562560. Its totient is φ = 700401060864.

The previous prime is 772021399987. The next prime is 772021400039. The reversal of 772021400033 is 330004120277.

It is a cyclic number.

It is not a de Polignac number, because 772021400033 - 2⁶ = 772021399969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 772021399969 and 772021400005.

It is not an unprimeable number, because it can be changed into a prime (772021400039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1645373 + ... + 2061866.

It is an arithmetic number, because the mean of its divisors is an integer number (52861535160).

Almost surely, 2^772021400033 is an apocalyptic number.

It is an amenable number.

772021400033 is a deficient number, since it is larger than the sum of its proper divisors (73763162527).

772021400033 is a wasteful number, since it uses less digits than its factorization.

772021400033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707528.

The product of its (nonzero) digits is 7056, while the sum is 29.

The spelling of 772021400033 in words is "seven hundred seventy-two billion, twenty-one million, four hundred thousand, thirty-three".