77137431840 has 384 divisors, whose sum is σ = 309476160000. Its totient is φ = 17578487808.

The previous prime is 77137431829. The next prime is 77137431869. The reversal of 77137431840 is 4813473177.

It is a happy number.

77137431840 is a `hidden beast` number, since 7 + 7 + 137 + 431 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10550106 + ... + 10557414.

It is an arithmetic number, because the mean of its divisors is an integer number (805927500).

Almost surely, 2^77137431840 is an apocalyptic number.

77137431840 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 77137431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154738080000).

77137431840 is an abundant number, since it is smaller than the sum of its proper divisors (232338728160).

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

77137431840 is a wasteful number, since it uses less digits than its factorization.

77137431840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7689 (or 7675 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 77137431840 in words is "seventy-seven billion, one hundred thirty-seven million, four hundred thirty-one thousand, eight hundred forty".