73779750 has 144 divisors (see below), whose sum is σ = 220094784. Its totient is φ = 17820000.

The previous prime is 73779743. The next prime is 73779751. The reversal of 73779750 is 5797737.

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 = 73779696 and 73779705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73779751) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 272115 + ... + 272385.

It is an arithmetic number, because the mean of its divisors is an integer number (1528436).

Almost surely, 2^73779750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73779750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110047392).

73779750 is an abundant number, since it is smaller than the sum of its proper divisors (146315034).

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

73779750 is a wasteful number, since it uses less digits than its factorization.

73779750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 324135, while the sum is 45.

The square root of 73779750 is about 8589.5139559814. The cubic root of 73779750 is about 419.4167073095.

It can be divided in two parts, 73779 and 750, that added together give a square (74529 = 273²).

The spelling of 73779750 in words is "seventy-three million, seven hundred seventy-nine thousand, seven hundred fifty".