77177386440 has 480 divisors, whose sum is σ = 325871663040. Its totient is φ = 16036289280.

The previous prime is 77177386421. The next prime is 77177386469. The reversal of 77177386440 is 4468377177.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2730219 + ... + 2758341.

It is an arithmetic number, because the mean of its divisors is an integer number (678899298).

Almost surely, 2^77177386440 is an apocalyptic number.

77177386440 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 77177386440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162935831520).

77177386440 is an abundant number, since it is smaller than the sum of its proper divisors (248694276600).

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

77177386440 is a wasteful number, since it uses less digits than its factorization.

77177386440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28175 (or 28151 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 77177386440 in words is "seventy-seven billion, one hundred seventy-seven million, three hundred eighty-six thousand, four hundred forty".