7767242812980 has 480 divisors, whose sum is σ = 29188265508864. Its totient is φ = 1690551979776.

The previous prime is 7767242812961. The next prime is 7767242812981. The reversal of 7767242812980 is 892182427677.

7767242812980 is a `hidden beast` number, since 7 + 7 + 6 + 7 + 2 + 428 + 129 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7767242812981) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58096089 + ... + 58229631.

Almost surely, 2^{7767242812980} is an apocalyptic number.

7767242812980 is a gapful number since it is divisible by the number (70) 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 7767242812980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594132754432).

7767242812980 is an abundant number, since it is smaller than the sum of its proper divisors (21421022695884).

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

7767242812980 is a wasteful number, since it uses less digits than its factorization.

7767242812980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133817 (or 133806 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 7767242812980 in words is "seven trillion, seven hundred sixty-seven billion, two hundred forty-two million, eight hundred twelve thousand, nine hundred eighty".