76377401712 has 320 divisors, whose sum is σ = 252240998400. Its totient is φ = 21966888960.

The previous prime is 76377401707. The next prime is 76377401741. The reversal of 76377401712 is 21710477367.

It is a happy number.

76377401712 is a `hidden beast` number, since 7 + 637 + 7 + 4 + 0 + 1 + 7 + 1 + 2 = 666.

It is a congruent number.

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, 4316788 + ... + 4334444.

It is an arithmetic number, because the mean of its divisors is an integer number (788253120).

Almost surely, 2^76377401712 is an apocalyptic number.

76377401712 is a gapful number since it is divisible by the number (72) 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 76377401712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126120499200).

76377401712 is an abundant number, since it is smaller than the sum of its proper divisors (175863596688).

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

76377401712 is a wasteful number, since it uses less digits than its factorization.

76377401712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17741 (or 17729 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 76377401712 in words is "seventy-six billion, three hundred seventy-seven million, four hundred one thousand, seven hundred twelve".