78407267400 has 1152 divisors, whose sum is σ = 351980328960. Its totient is φ = 15141888000.

The previous prime is 78407267381. The next prime is 78407267423. The reversal of 78407267400 is 476270487.

It is a super-2 number, since 2×78407267400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 252113245 + ... + 252113555.

It is an arithmetic number, because the mean of its divisors is an integer number (305538480).

Almost surely, 2^78407267400 is an apocalyptic number.

78407267400 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 78407267400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175990164480).

78407267400 is an abundant number, since it is smaller than the sum of its proper divisors (273573061560).

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

78407267400 is a wasteful number, since it uses less digits than its factorization.

78407267400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 78407267400 in words is "seventy-eight billion, four hundred seven million, two hundred sixty-seven thousand, four hundred".