78397269350400 has 3456 divisors, whose sum is σ = 378831503232000. Its totient is φ = 14963363020800.

The previous prime is 78397269350357. The next prime is 78397269350401. The reversal of 78397269350400 is 405396279387.

78397269350400 is a `hidden beast` number, since 7 + 8 + 3 + 97 + 2 + 6 + 93 + 50 + 400 = 666.

It is a super-2 number, since 2×78397269350400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78397269350401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 160980018957 + ... + 160980019443.

It is an arithmetic number, because the mean of its divisors is an integer number (109615597000).

Almost surely, 2^{78397269350400} is an apocalyptic number.

78397269350400 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 78397269350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189415751616000).

78397269350400 is an abundant number, since it is smaller than the sum of its proper divisors (300434233881600).

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

78397269350400 is a wasteful number, since it uses less digits than its factorization.

78397269350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 78397269350400 in words is "seventy-eight trillion, three hundred ninety-seven billion, two hundred sixty-nine million, three hundred fifty thousand, four hundred".