772286998093632 has 588 divisors, whose sum is σ = 2759066727175296. Its totient is φ = 213535555914240.

The previous prime is 772286998093511. The next prime is 772286998093691. The reversal of 772286998093632 is 236390899682277.

772286998093632 is a `hidden beast` number, since 7 + 72 + 28 + 6 + 99 + 80 + 9 + 363 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 65421883 + ... + 76319045.

Almost surely, 2^{772286998093632} is an apocalyptic number.

772286998093632 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 772286998093632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379533363587648).

772286998093632 is an abundant number, since it is smaller than the sum of its proper divisors (1986779729081664).

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

772286998093632 is a wasteful number, since it uses less digits than its factorization.

772286998093632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10897238 (or 10897206 counting only the distinct ones).

The product of its (nonzero) digits is 5925685248, while the sum is 81.

The spelling of 772286998093632 in words is "seven hundred seventy-two trillion, two hundred eighty-six billion, nine hundred ninety-eight million, ninety-three thousand, six hundred thirty-two".