76617900 has 126 divisors (see below), whose sum is σ = 249514412. Its totient is φ = 20412000.

The previous prime is 76617869. The next prime is 76617901. The reversal of 76617900 is 971667.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76617901) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 72375 + ... + 73425.

Almost surely, 2^76617900 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 76617900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124757206).

76617900 is an abundant number, since it is smaller than the sum of its proper divisors (172896512).

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

76617900 is a wasteful number, since it uses less digits than its factorization.

76617900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 76617900 is about 8753.1651418216. The cubic root of 76617900 is about 424.7272067168.

The spelling of 76617900 in words is "seventy-six million, six hundred seventeen thousand, nine hundred".