77220040456 has 64 divisors (see below), whose sum is σ = 159240135600. Its totient is φ = 34890240000.

The previous prime is 77220040453. The next prime is 77220040459. The reversal of 77220040456 is 65404002277.

It is an interprime number because it is at equal distance from previous prime (77220040453) and next prime (77220040459).

It can be written as a sum of positive squares in 8 ways, for example, as 24701151556 + 52518888900 = 157166^2 + 229170^2 .

It is not an unprimeable number, because it can be changed into a prime (77220040451) 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, 893556 + ... + 976156.

Almost surely, 2^77220040456 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 77220040456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79620067800).

77220040456 is an abundant number, since it is smaller than the sum of its proper divisors (82020095144).

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

77220040456 is a wasteful number, since it uses less digits than its factorization.

77220040456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82810 (or 82806 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The spelling of 77220040456 in words is "seventy-seven billion, two hundred twenty million, forty thousand, four hundred fifty-six".