76851300 has 72 divisors (see below), whose sum is σ = 224423136. Its totient is φ = 20303360.

The previous prime is 76851283. The next prime is 76851311. The reversal of 76851300 is 315867.

It is a super-2 number, since 2×76851300² = 11812244623380000, which contains 22 as substring.

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

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, 32767 + ... + 35033.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2^76851300 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 76851300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112211568).

76851300 is an abundant number, since it is smaller than the sum of its proper divisors (147571836).

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

76851300 is a wasteful number, since it uses less digits than its factorization.

76851300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 76851300 is about 8766.4873238943. The cubic root of 76851300 is about 425.1580496368.

The spelling of 76851300 in words is "seventy-six million, eight hundred fifty-one thousand, three hundred".