76939800 has 144 divisors (see below), whose sum is σ = 277560360. Its totient is φ = 17579520.

The previous prime is 76939781. The next prime is 76939817. The reversal of 76939800 is 893967.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 28092 + ... + 30708.

Almost surely, 2^76939800 is an apocalyptic number.

76939800 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 76939800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138780180).

76939800 is an abundant number, since it is smaller than the sum of its proper divisors (200620560).

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

76939800 is a wasteful number, since it uses less digits than its factorization.

76939800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 76939800 is about 8771.5335033277. The cubic root of 76939800 is about 425.3211874254.

The spelling of 76939800 in words is "seventy-six million, nine hundred thirty-nine thousand, eight hundred".