77425230758400 has 3840 divisors, whose sum is σ = 352298651443200. Its totient is φ = 16475465318400.

The previous prime is 77425230758383. The next prime is 77425230758467. The reversal of 77425230758400 is 485703252477.

It is a happy number.

77425230758400 is a `hidden beast` number, since 7 + 7 + 4 + 2 + 52 + 3 + 0 + 7 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 184785753391 + ... + 184785753809.

It is an arithmetic number, because the mean of its divisors is an integer number (91744440480).

Almost surely, 2^{77425230758400} is an apocalyptic number.

77425230758400 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 77425230758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176149325721600).

77425230758400 is an abundant number, since it is smaller than the sum of its proper divisors (274873420684800).

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

77425230758400 is an equidigital number, since it uses as much as digits as its factorization.

77425230758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 77425230758400 in words is "seventy-seven trillion, four hundred twenty-five billion, two hundred thirty million, seven hundred fifty-eight thousand, four hundred".