76782377952 has 288 divisors, whose sum is σ = 264299922432. Its totient is φ = 21470344704.

The previous prime is 76782377923. The next prime is 76782377963. The reversal of 76782377952 is 25977328767.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 76782377952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2543298 + ... + 2573310.

It is an arithmetic number, because the mean of its divisors is an integer number (917708064).

Almost surely, 2^76782377952 is an apocalyptic number.

76782377952 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 76782377952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132149961216).

76782377952 is an abundant number, since it is smaller than the sum of its proper divisors (187517544480).

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

76782377952 is a wasteful number, since it uses less digits than its factorization.

76782377952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30092 (or 30072 counting only the distinct ones).

The product of its digits is 62233920, while the sum is 63.

The spelling of 76782377952 in words is "seventy-six billion, seven hundred eighty-two million, three hundred seventy-seven thousand, nine hundred fifty-two".