76776481803960 has 384 divisors, whose sum is σ = 261795276288000. Its totient is φ = 19476757859328.

The previous prime is 76776481803919. The next prime is 76776481803977. The reversal of 76776481803960 is 6930818467767.

It is a happy number.

76776481803960 is a `hidden beast` number, since 7 + 6 + 7 + 7 + 6 + 481 + 80 + 3 + 9 + 60 = 666.

It is a Cunningham number, because it is equal to 8762219²-1.

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 95 ways as a sum of consecutive naturals, for example, 1577174901 + ... + 1577223579.

It is an arithmetic number, because the mean of its divisors is an integer number (681758532000).

Almost surely, 2^{76776481803960} 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 76776481803960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130897638144000).

76776481803960 is an abundant number, since it is smaller than the sum of its proper divisors (185018794484040).

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

76776481803960 is a wasteful number, since it uses less digits than its factorization.

76776481803960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49755 (or 49748 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 76776481803960 in words is "seventy-six trillion, seven hundred seventy-six billion, four hundred eighty-one million, eight hundred three thousand, nine hundred sixty".