76407300 has 90 divisors (see below), whose sum is σ = 247708538. Its totient is φ = 20373120.

The previous prime is 76407293. The next prime is 76407307. The reversal of 76407300 is 370467.

It is an interprime number because it is at equal distance from previous prime (76407293) and next prime (76407307).

It can be written as a sum of positive squares in 3 ways, for example, as 9036036 + 67371264 = 3006^2 + 8208^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (76407307) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3384 + ... + 12816.

Almost surely, 2^76407300 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 76407300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123854269).

76407300 is an abundant number, since it is smaller than the sum of its proper divisors (171301238).

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

76407300 is a wasteful number, since it uses less digits than its factorization.

76407300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9459 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 76407300 is about 8741.1269296356. The cubic root of 76407300 is about 424.3376996952.

Adding to 76407300 its reverse (370467), we get a palindrome (76777767).

The spelling of 76407300 in words is "seventy-six million, four hundred seven thousand, three hundred".