76945680 has 240 divisors, whose sum is σ = 308730240. Its totient is φ = 17563392.

The previous prime is 76945679. The next prime is 76945691. The reversal of 76945680 is 8654967.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105477 + ... + 106203.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^76945680 is an apocalyptic number.

76945680 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 76945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

76945680 is an abundant number, since it is smaller than the sum of its proper divisors (231784560).

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

76945680 is a wasteful number, since it uses less digits than its factorization.

76945680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 76945680 is about 8771.8686720675. The cubic root of 76945680 is about 425.3320219777.

The spelling of 76945680 in words is "seventy-six million, nine hundred forty-five thousand, six hundred eighty".