7910779958400 has 384 divisors, whose sum is σ = 29029673410560. Its totient is φ = 1876960153600.

The previous prime is 7910779958387. The next prime is 7910779958413. The reversal of 7910779958400 is 48599770197.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7910779958387) and next prime (7910779958413).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 4166257 + ... + 5760143.

It is an arithmetic number, because the mean of its divisors is an integer number (75598107840).

Almost surely, 2^{7910779958400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7910779958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14514836705280).

7910779958400 is an abundant number, since it is smaller than the sum of its proper divisors (21118893452160).

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

7910779958400 is a wasteful number, since it uses less digits than its factorization.

7910779958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593972 (or 1593955 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 66.

The spelling of 7910779958400 in words is "seven trillion, nine hundred ten billion, seven hundred seventy-nine million, nine hundred fifty-eight thousand, four hundred".