76973760 has 224 divisors, whose sum is σ = 277977600. Its totient is φ = 20044800.

The previous prime is 76973749. The next prime is 76973761. The reversal of 76973760 is 6737967.

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 (76973761) 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, 509685 + ... + 509835.

Almost surely, 2^76973760 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 76973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138988800).

76973760 is an abundant number, since it is smaller than the sum of its proper divisors (201003840).

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

76973760 is a wasteful number, since it uses less digits than its factorization.

76973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 76973760 is about 8773.4690972272. The cubic root of 76973760 is about 425.3837548826.

It can be divided in two parts, 769 and 73760, that added together give a square (74529 = 273²).

The spelling of 76973760 in words is "seventy-six million, nine hundred seventy-three thousand, seven hundred sixty".