76325700 has 144 divisors (see below), whose sum is σ = 244359360. Its totient is φ = 18240000.

The previous prime is 76325687. The next prime is 76325713. The reversal of 76325700 is 752367.

It is an interprime number because it is at equal distance from previous prime (76325687) and next prime (76325713).

It is a super-3 number, since 3×76325700³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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, 333186 + ... + 333414.

It is an arithmetic number, because the mean of its divisors is an integer number (1696940).

Almost surely, 2^76325700 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 76325700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122179680).

76325700 is an abundant number, since it is smaller than the sum of its proper divisors (168033660).

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

76325700 is a wasteful number, since it uses less digits than its factorization.

76325700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 76325700 is about 8736.4580923850. The cubic root of 76325700 is about 424.1865872143.

The spelling of 76325700 in words is "seventy-six million, three hundred twenty-five thousand, seven hundred".