76741434400 has 36 divisors (see below), whose sum is σ = 187345028682. Its totient is φ = 30696573440.

The previous prime is 76741434389. The next prime is 76741434443. The reversal of 76741434400 is 443414767.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 44296779024 + 32444655376 = 210468^2 + 180124^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47962597 + ... + 47964196.

Almost surely, 2^76741434400 is an apocalyptic number.

It is an amenable number.

76741434400 is an abundant number, since it is smaller than the sum of its proper divisors (110603594282).

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

76741434400 is a wasteful number, since it uses less digits than its factorization.

76741434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95926813 (or 95926800 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 76741434400 in words is "seventy-six billion, seven hundred forty-one million, four hundred thirty-four thousand, four hundred".