78265051200 has 1008 divisors, whose sum is σ = 333618230400. Its totient is φ = 17677025280.

The previous prime is 78265051181. The next prime is 78265051213. The reversal of 78265051200 is 215056287.

It is a happy number.

78265051200 is a `hidden beast` number, since 7 + 8 + 26 + 505 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×78265051200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 405518304 + ... + 405518496.

Almost surely, 2^78265051200 is an apocalyptic number.

78265051200 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 78265051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166809115200).

78265051200 is an abundant number, since it is smaller than the sum of its proper divisors (255353179200).

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

78265051200 is a wasteful number, since it uses less digits than its factorization.

78265051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 78265051200 in words is "seventy-eight billion, two hundred sixty-five million, fifty-one thousand, two hundred".