75689460 has 288 divisors, whose sum is σ = 295206912. Its totient is φ = 15240960.

The previous prime is 75689441. The next prime is 75689461. The reversal of 75689460 is 6498657.

75689460 = 140² + 141² + ... + 612².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75689461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 595917 + ... + 596043.

It is an arithmetic number, because the mean of its divisors is an integer number (1025024).

Almost surely, 2^75689460 is an apocalyptic number.

75689460 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 75689460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147603456).

75689460 is an abundant number, since it is smaller than the sum of its proper divisors (219517452).

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

75689460 is a wasteful number, since it uses less digits than its factorization.

75689460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 75689460 is about 8699.9689654619. The cubic root of 75689460 is about 423.0046442493.

The spelling of 75689460 in words is "seventy-five million, six hundred eighty-nine thousand, four hundred sixty".