76940400 has 120 divisors (see below), whose sum is σ = 249383344. Its totient is φ = 20275200.

The previous prime is 76940399. The next prime is 76940417. The reversal of 76940400 is 404967.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 116070 + ... + 116730.

Almost surely, 2^76940400 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 76940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124691672).

76940400 is an abundant number, since it is smaller than the sum of its proper divisors (172442944).

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

76940400 is a wasteful number, since it uses less digits than its factorization.

76940400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 76940400 is about 8771.5677048063. The cubic root of 76940400 is about 425.3222930172.

The spelling of 76940400 in words is "seventy-six million, nine hundred forty thousand, four hundred".