73977750 has 288 divisors, whose sum is σ = 258010272. Its totient is φ = 15120000.

The previous prime is 73977737. The next prime is 73977751. The reversal of 73977750 is 5777937.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 73977696 and 73977705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73977751) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1212720 + ... + 1212780.

It is an arithmetic number, because the mean of its divisors is an integer number (895869).

Almost surely, 2^73977750 is an apocalyptic number.

73977750 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 73977750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129005136).

73977750 is an abundant number, since it is smaller than the sum of its proper divisors (184032522).

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

73977750 is a wasteful number, since it uses less digits than its factorization.

73977750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

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

The square root of 73977750 is about 8601.0319148344. The cubic root of 73977750 is about 419.7915632412.

The spelling of 73977750 in words is "seventy-three million, nine hundred seventy-seven thousand, seven hundred fifty".