76847400 has 384 divisors, whose sum is σ = 321408000. Its totient is φ = 16485120.

The previous prime is 76847399. The next prime is 76847411. The reversal of 76847400 is 474867.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 718147 + ... + 718253.

It is an arithmetic number, because the mean of its divisors is an integer number (837000).

Almost surely, 2^76847400 is an apocalyptic number.

76847400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76847400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

76847400 is an abundant number, since it is smaller than the sum of its proper divisors (244560600).

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

76847400 is a wasteful number, since it uses less digits than its factorization.

76847400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 76847400 is about 8766.2648830617. The cubic root of 76847400 is about 425.1508576334.

The spelling of 76847400 in words is "seventy-six million, eight hundred forty-seven thousand, four hundred".