76497480 has 128 divisors (see below), whose sum is σ = 257011200. Its totient is φ = 20238336.

The previous prime is 76497479. The next prime is 76497481. The reversal of 76497480 is 8479467.

It is an interprime number because it is at equal distance from previous prime (76497479) and next prime (76497481).

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

It is not an unprimeable number, because it can be changed into a prime (76497481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208257 + ... + 208623.

It is an arithmetic number, because the mean of its divisors is an integer number (2007900).

Almost surely, 2^76497480 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 76497480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128505600).

76497480 is an abundant number, since it is smaller than the sum of its proper divisors (180513720).

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

76497480 is a wasteful number, since it uses less digits than its factorization.

76497480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 76497480 is about 8746.2837822700. The cubic root of 76497480 is about 424.5045761097.

It can be divided in two parts, 7649 and 7480, that added together give a square (15129 = 123²).

The spelling of 76497480 in words is "seventy-six million, four hundred ninety-seven thousand, four hundred eighty".