76070400 has 240 divisors, whose sum is σ = 288207744. Its totient is φ = 17326080.

The previous prime is 76070399. The next prime is 76070419. The reversal of 76070400 is 407067.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 268659 + ... + 268941.

Almost surely, 2^76070400 is an apocalyptic number.

76070400 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 76070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144103872).

76070400 is an abundant number, since it is smaller than the sum of its proper divisors (212137344).

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

76070400 is a wasteful number, since it uses less digits than its factorization.

76070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 76070400 is about 8721.8346693801. The cubic root of 76070400 is about 423.7131084041.

Adding to 76070400 its reverse (407067), we get a palindrome (76477467).

The spelling of 76070400 in words is "seventy-six million, seventy thousand, four hundred".