79776829440 has 1404 divisors, whose sum is σ = 358417944612. Its totient is φ = 16349921280.

The previous prime is 79776829427. The next prime is 79776829453. The reversal of 79776829440 is 4492867797.

It is an interprime number because it is at equal distance from previous prime (79776829427) and next prime (79776829453).

It can be written as a sum of positive squares in 2 ways, for example, as 36937764864 + 42839064576 = 192192^2 + 206976^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1092833244 + ... + 1092833316.

Almost surely, 2^79776829440 is an apocalyptic number.

79776829440 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 79776829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179208972306).

79776829440 is an abundant number, since it is smaller than the sum of its proper divisors (278641115172).

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

79776829440 is a wasteful number, since it uses less digits than its factorization.

79776829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 79776829440 in words is "seventy-nine billion, seven hundred seventy-six million, eight hundred twenty-nine thousand, four hundred forty".