77437487440 has 160 divisors (see below), whose sum is σ = 201445678080. Its totient is φ = 27531558912.

The previous prime is 77437487429. The next prime is 77437487441. The reversal of 77437487440 is 4478473477.

It is a super-2 number, since 2×77437487440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77437487441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2455452 + ... + 2486788.

It is an arithmetic number, because the mean of its divisors is an integer number (1259035488).

Almost surely, 2^77437487440 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 77437487440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100722839040).

77437487440 is an abundant number, since it is smaller than the sum of its proper divisors (124008190640).

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

77437487440 is a wasteful number, since it uses less digits than its factorization.

77437487440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31469 (or 31463 counting only the distinct ones).

The product of its (nonzero) digits is 14751744, while the sum is 55.

The spelling of 77437487440 in words is "seventy-seven billion, four hundred thirty-seven million, four hundred eighty-seven thousand, four hundred forty".