76475920 has 80 divisors (see below), whose sum is σ = 188023680. Its totient is φ = 28869632.

The previous prime is 76475881. The next prime is 76475921. The reversal of 76475920 is 2957467.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (76475921) 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, 163527 + ... + 163993.

It is an arithmetic number, because the mean of its divisors is an integer number (2350296).

Almost surely, 2^76475920 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 76475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94011840).

76475920 is an abundant number, since it is smaller than the sum of its proper divisors (111547760).

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

76475920 is a wasteful number, since it uses less digits than its factorization.

76475920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 76475920 is about 8745.0511719486. The cubic root of 76475920 is about 424.4646916646.

The spelling of 76475920 in words is "seventy-six million, four hundred seventy-five thousand, nine hundred twenty".