76955970 has 96 divisors (see below), whose sum is σ = 231432768. Its totient is φ = 16232832.

The previous prime is 76955959. The next prime is 76955993. The reversal of 76955970 is 7955967.

It is a Curzon number.

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, 17097 + ... + 21123.

It is an arithmetic number, because the mean of its divisors is an integer number (2410758).

Almost surely, 2^76955970 is an apocalyptic number.

76955970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76955970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115716384).

76955970 is an abundant number, since it is smaller than the sum of its proper divisors (154476798).

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

76955970 is a wasteful number, since it uses less digits than its factorization.

76955970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 48.

The square root of 76955970 is about 8772.4551865484. The cubic root of 76955970 is about 425.3509811163.

The spelling of 76955970 in words is "seventy-six million, nine hundred fifty-five thousand, nine hundred seventy".