798828387984 has 675 divisors, whose sum is σ = 2655395065323. Its totient is φ = 231665702400.

The previous prime is 798828387911. The next prime is 798828387997. The reversal of 798828387984 is 489783828897.

The square root of 798828387984 is 893772.

It is a perfect power (a square), and thus also a powerful number.

798828387984 is a `hidden beast` number, since 79 + 8 + 82 + 8 + 387 + 98 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17598675600 + 781229712384 = 132660^2 + 883872^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13095547314 + ... + 13095547374.

Almost surely, 2^798828387984 is an apocalyptic number.

798828387984 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

798828387984 is the 893772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 798828387984

798828387984 is an abundant number, since it is smaller than the sum of its proper divisors (1856566677339).

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

798828387984 is a wasteful number, since it uses less digits than its factorization.

798828387984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 114 counting only the distinct ones).

The product of its digits is 3121348608, while the sum is 81.

Multiplying 798828387984 by its sum of digits (81), we get a square (64705099426704 = 8043948²).

798828387984 divided by its sum of digits (81) gives a square (9862078864 = 99308²).

The spelling of 798828387984 in words is "seven hundred ninety-eight billion, eight hundred twenty-eight million, three hundred eighty-seven thousand, nine hundred eighty-four".