76629600 has 216 divisors, whose sum is σ = 280294560. Its totient is φ = 19676160.

The previous prime is 76629587. The next prime is 76629601. The reversal of 76629600 is 692667.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76629601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208617 + ... + 208983.

It is an arithmetic number, because the mean of its divisors is an integer number (1297660).

Almost surely, 2^76629600 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 76629600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140147280).

76629600 is an abundant number, since it is smaller than the sum of its proper divisors (203664960).

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

76629600 is a wasteful number, since it uses less digits than its factorization.

76629600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 76629600 is about 8753.8334459824. The cubic root of 76629600 is about 424.7488250566.

The spelling of 76629600 in words is "seventy-six million, six hundred twenty-nine thousand, six hundred".