76113600 has 168 divisors, whose sum is σ = 253794768. Its totient is φ = 19968000.

The previous prime is 76113581. The next prime is 76113617. The reversal of 76113600 is 631167.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484722 + ... + 484878.

Almost surely, 2^76113600 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 76113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126897384).

76113600 is an abundant number, since it is smaller than the sum of its proper divisors (177681168).

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

76113600 is a wasteful number, since it uses less digits than its factorization.

76113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 76113600 is about 8724.3108610365. The cubic root of 76113600 is about 423.7933014112.

Adding to 76113600 its reverse (631167), we get a palindrome (76744767).

It can be divided in two parts, 7611 and 3600, that added together give a palindrome (11211).

The spelling of 76113600 in words is "seventy-six million, one hundred thirteen thousand, six hundred".