7578793797120 has 1920 divisors, whose sum is σ = 33925722614784. Its totient is φ = 1578797236224.

The previous prime is 7578793797109. The next prime is 7578793797131. The reversal of 7578793797120 is 217973978757.

7578793797120 is a `hidden beast` number, since 7 + 57 + 87 + 9 + 379 + 7 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (7578793797109) and next prime (7578793797131).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4698569434 + ... + 4698571046.

Almost surely, 2^{7578793797120} is an apocalyptic number.

7578793797120 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 7578793797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16962861307392).

7578793797120 is an abundant number, since it is smaller than the sum of its proper divisors (26346928817664).

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

7578793797120 is a wasteful number, since it uses less digits than its factorization.

7578793797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 326728080, while the sum is 72.

The spelling of 7578793797120 in words is "seven trillion, five hundred seventy-eight billion, seven hundred ninety-three million, seven hundred ninety-seven thousand, one hundred twenty".