77322338970240 has 3072 divisors, whose sum is σ = 326734442496000. Its totient is φ = 15520905953280.

The previous prime is 77322338970199. The next prime is 77322338970257. The reversal of 77322338970240 is 4207983322377.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 251864296167 + ... + 251864296473.

It is an arithmetic number, because the mean of its divisors is an integer number (106358868000).

Almost surely, 2^{77322338970240} is an apocalyptic number.

77322338970240 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 77322338970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163367221248000).

77322338970240 is an abundant number, since it is smaller than the sum of its proper divisors (249412103525760).

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

77322338970240 is a wasteful number, since it uses less digits than its factorization.

77322338970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 57.

The spelling of 77322338970240 in words is "seventy-seven trillion, three hundred twenty-two billion, three hundred thirty-eight million, nine hundred seventy thousand, two hundred forty".