78333705450 has 960 divisors, whose sum is σ = 297587203200. Its totient is φ = 15025046400.

The previous prime is 78333705409. The next prime is 78333705473. The reversal of 78333705450 is 5450733387.

78333705450 is a `hidden beast` number, since 7 + 8 + 3 + 33 + 70 + 545 + 0 = 666.

It is a super-2 number, since 2×78333705450² (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 a junction number, because it is equal to n+sod(n) for n = 78333705396 and 78333705405.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6025669644 + ... + 6025669656.

It is an arithmetic number, because the mean of its divisors is an integer number (309986670).

Almost surely, 2^78333705450 is an apocalyptic number.

78333705450 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78333705450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148793601600).

78333705450 is an abundant number, since it is smaller than the sum of its proper divisors (219253497750).

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

78333705450 is a wasteful number, since it uses less digits than its factorization.

78333705450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

It can be divided in two parts, 7833370 and 5450, that added together give a triangular number (7838820 = T₃₉₅₉).

The spelling of 78333705450 in words is "seventy-eight billion, three hundred thirty-three million, seven hundred five thousand, four hundred fifty".