76649400 has 144 divisors (see below), whose sum is σ = 260660400. Its totient is φ = 20183040.

The previous prime is 76649389. The next prime is 76649431. The reversal of 76649400 is 494667.

76649400 is a `hidden beast` number, since 7 + 6 + 649 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174381 + ... + 174819.

Almost surely, 2^76649400 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 76649400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130330200).

76649400 is an abundant number, since it is smaller than the sum of its proper divisors (184011000).

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

76649400 is a wasteful number, since it uses less digits than its factorization.

76649400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 76649400 is about 8754.9643060380. The cubic root of 76649400 is about 424.7854049270.

The spelling of 76649400 in words is "seventy-six million, six hundred forty-nine thousand, four hundred".