76800464 has 40 divisors (see below), whose sum is σ = 162901032. Its totient is φ = 34859520.

The previous prime is 76800463. The next prime is 76800467. The reversal of 76800464 is 46400867.

It can be written as a sum of positive squares in 4 ways, for example, as 9560464 + 67240000 = 3092^2 + 8200^2 .

It is a super-2 number, since 2×76800464² = 11796622541230592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76800463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9662 + ... + 15714.

Almost surely, 2^76800464 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 76800464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81450516).

76800464 is an abundant number, since it is smaller than the sum of its proper divisors (86100568).

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

76800464 is a wasteful number, since it uses less digits than its factorization.

76800464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 76800464 is about 8763.5873932996. The cubic root of 76800464 is about 425.0642837018.

The spelling of 76800464 in words is "seventy-six million, eight hundred thousand, four hundred sixty-four".