76641600 has 168 divisors, whose sum is σ = 287495488. Its totient is φ = 17510400.

The previous prime is 76641599. The next prime is 76641601. The reversal of 76641600 is 614667.

It is an interprime number because it is at equal distance from previous prime (76641599) and next prime (76641601).

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76641601) 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, 32460 + ... + 34740.

Almost surely, 2^76641600 is an apocalyptic number.

76641600 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 76641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143747744).

76641600 is an abundant number, since it is smaller than the sum of its proper divisors (210853888).

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

76641600 is a wasteful number, since it uses less digits than its factorization.

76641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2298 counting only the distinct ones).

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

The square root of 76641600 is about 8754.5188331513. The cubic root of 76641600 is about 424.7709954271.

The spelling of 76641600 in words is "seventy-six million, six hundred forty-one thousand, six hundred".