76975360 has 216 divisors, whose sum is σ = 234880128. Its totient is φ = 23654400.

The previous prime is 76975343. The next prime is 76975369. The reversal of 76975360 is 6357967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76975369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1084125 + ... + 1084195.

It is an arithmetic number, because the mean of its divisors is an integer number (1087408).

Almost surely, 2^76975360 is an apocalyptic number.

76975360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440064).

76975360 is an abundant number, since it is smaller than the sum of its proper divisors (157904768).

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

76975360 is a wasteful number, since it uses less digits than its factorization.

76975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 43.

The square root of 76975360 is about 8773.5602807526. The cubic root of 76975360 is about 425.3867022476.

The spelling of 76975360 in words is "seventy-six million, nine hundred seventy-five thousand, three hundred sixty".