75897408 has 112 divisors (see below), whose sum is σ = 213238080. Its totient is φ = 23783424.

The previous prime is 75897389. The next prime is 75897421. The reversal of 75897408 is 80479857.

It is a super-2 number, since 2×75897408² = 11520833082236928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239266 + ... + 239582.

Almost surely, 2^75897408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106619040).

75897408 is an abundant number, since it is smaller than the sum of its proper divisors (137340672).

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

75897408 is a wasteful number, since it uses less digits than its factorization.

75897408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 75897408 is about 8711.9118452840. The cubic root of 75897408 is about 423.3916754003.

Subtracting from 75897408 its sum of digits (48), we obtain a triangular number (75897360 = T₁₂₃₂₀).

The spelling of 75897408 in words is "seventy-five million, eight hundred ninety-seven thousand, four hundred eight".