77078000454 has 256 divisors, whose sum is σ = 202936043520. Its totient is φ = 18951045120.

The previous prime is 77078000449. The next prime is 77078000491. The reversal of 77078000454 is 45400087077.

It is a super-2 number, since 2×77078000454² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 274298794 + ... + 274299074.

It is an arithmetic number, because the mean of its divisors is an integer number (792718920).

Almost surely, 2^77078000454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77078000454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101468021760).

77078000454 is an abundant number, since it is smaller than the sum of its proper divisors (125858043066).

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

77078000454 is a wasteful number, since it uses less digits than its factorization.

77078000454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655.

The product of its (nonzero) digits is 219520, while the sum is 42.

The spelling of 77078000454 in words is "seventy-seven billion, seventy-eight million, four hundred fifty-four", and thus it is an aban number.