76048000 has 192 divisors, whose sum is σ = 222211080. Its totient is φ = 25804800.

The previous prime is 76047997. The next prime is 76048001. The reversal of 76048000 is 84067.

It can be written as a sum of positive squares in 4 ways, for example, as 20575296 + 55472704 = 4536^2 + 7448^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (76048001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783952 + ... + 784048.

Almost surely, 2^76048000 is an apocalyptic number.

76048000 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 76048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111105540).

76048000 is an abundant number, since it is smaller than the sum of its proper divisors (146163080).

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

76048000 is an equidigital number, since it uses as much as digits as its factorization.

76048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 76048000 is about 8720.5504413426. The cubic root of 76048000 is about 423.6715148917.

The spelling of 76048000 in words is "seventy-six million, forty-eight thousand".