77493197376 has 189 divisors, whose sum is σ = 258540819849. Its totient is φ = 22127551488.

The previous prime is 77493197339. The next prime is 77493197381. The reversal of 77493197376 is 67379139477.

The square root of 77493197376 is 278376.

It is a perfect power (a square), and thus also a powerful number.

77493197376 is a `hidden beast` number, since 7 + 7 + 493 + 1 + 9 + 73 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24674126400 + 52819070976 = 157080^2 + 229824^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46766340 + ... + 46767996.

Almost surely, 2^77493197376 is an apocalyptic number.

77493197376 is the 278376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77493197376

77493197376 is an abundant number, since it is smaller than the sum of its proper divisors (181047622473).

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

77493197376 is an equidigital number, since it uses as much as digits as its factorization.

77493197376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 1669 counting only the distinct ones).

The product of its digits is 42007896, while the sum is 63.

The spelling of 77493197376 in words is "seventy-seven billion, four hundred ninety-three million, one hundred ninety-seven thousand, three hundred seventy-six".