76752900 has 288 divisors, whose sum is σ = 293314560. Its totient is φ = 16848000.

The previous prime is 76752889. The next prime is 76752953. The reversal of 76752900 is 925767.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 585835 + ... + 585965.

Almost surely, 2^76752900 is an apocalyptic number.

76752900 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 76752900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146657280).

76752900 is an abundant number, since it is smaller than the sum of its proper divisors (216561660).

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

76752900 is a wasteful number, since it uses less digits than its factorization.

76752900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 76752900 is about 8760.8732441464. The cubic root of 76752900 is about 424.9765154267.

The spelling of 76752900 in words is "seventy-six million, seven hundred fifty-two thousand, nine hundred".