76877373961440 has 3072 divisors, whose sum is σ = 323887469875200. Its totient is φ = 17065973514240.

The previous prime is 76877373961417. The next prime is 76877373961471. The reversal of 76877373961440 is 4416937377867.

It is a happy number.

76877373961440 is a `hidden beast` number, since 7 + 6 + 87 + 73 + 7 + 39 + 6 + 1 + 440 = 666.

It is a super-3 number, since 3×76877373961440³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 202842675171 + ... + 202842675549.

It is an arithmetic number, because the mean of its divisors is an integer number (105432119100).

Almost surely, 2^{76877373961440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76877373961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161943734937600).

76877373961440 is an abundant number, since it is smaller than the sum of its proper divisors (247010095913760).

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

76877373961440 is a wasteful number, since it uses less digits than its factorization.

76877373961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 896168448, while the sum is 72.

The spelling of 76877373961440 in words is "seventy-six trillion, eight hundred seventy-seven billion, three hundred seventy-three million, nine hundred sixty-one thousand, four hundred forty".