76197408 has 96 divisors (see below), whose sum is σ = 230428800. Its totient is φ = 21596160.

The previous prime is 76197397. The next prime is 76197409. The reversal of 76197408 is 80479167.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 76197408.

It is not an unprimeable number, because it can be changed into a prime (76197409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99748 + ... + 100508.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300).

Almost surely, 2^76197408 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 76197408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

76197408 is an abundant number, since it is smaller than the sum of its proper divisors (154231392).

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

76197408 is a wasteful number, since it uses less digits than its factorization.

76197408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 76197408 is about 8729.1126696818. The cubic root of 76197408 is about 423.9487893532.

The spelling of 76197408 in words is "seventy-six million, one hundred ninety-seven thousand, four hundred eight".