77954407440 has 320 divisors, whose sum is σ = 298546225152. Its totient is φ = 16385587200.

The previous prime is 77954407439. The next prime is 77954407441. The reversal of 77954407440 is 4470445977.

It is an interprime number because it is at equal distance from previous prime (77954407439) and next prime (77954407441).

It is not an unprimeable number, because it can be changed into a prime (77954407441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5912055 + ... + 5925225.

Almost surely, 2^77954407440 is an apocalyptic number.

77954407440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77954407440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149273112576).

77954407440 is an abundant number, since it is smaller than the sum of its proper divisors (220591817712).

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

77954407440 is a wasteful number, since it uses less digits than its factorization.

77954407440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13478 (or 13472 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 77954407440 in words is "seventy-seven billion, nine hundred fifty-four million, four hundred seven thousand, four hundred forty".