76957000 has 64 divisors (see below), whose sum is σ = 184569840. Its totient is φ = 30016000.

The previous prime is 76956991. The next prime is 76957009. The reversal of 76957000 is 75967.

It is an interprime number because it is at equal distance from previous prime (76956991) and next prime (76957009).

It can be written as a sum of positive squares in 8 ways, for example, as 114244 + 76842756 = 338^2 + 8766^2 .

It is not an unprimeable number, because it can be changed into a prime (76957009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40062 + ... + 41938.

Almost surely, 2^76957000 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 76957000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92284920).

76957000 is an abundant number, since it is smaller than the sum of its proper divisors (107612840).

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

76957000 is a wasteful number, since it uses less digits than its factorization.

76957000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 76957000 is about 8772.5138928360. The cubic root of 76957000 is about 425.3528787796.

The spelling of 76957000 in words is "seventy-six million, nine hundred fifty-seven thousand".