76521900 has 144 divisors (see below), whose sum is σ = 272593664. Its totient is φ = 16139520.

The previous prime is 76521889. The next prime is 76521901. The reversal of 76521900 is 912567.

It is a super-2 number, since 2×76521900² = 11711202359220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (76521901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25899 + ... + 28701.

Almost surely, 2^76521900 is an apocalyptic number.

76521900 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 76521900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136296832).

76521900 is an abundant number, since it is smaller than the sum of its proper divisors (196071764).

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

76521900 is a wasteful number, since it uses less digits than its factorization.

76521900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 76521900 is about 8747.6796923527. The cubic root of 76521900 is about 424.5497422985.

It can be divided in two parts, 76521 and 900, that added together give a triangular number (77421 = T₃₉₃).

The spelling of 76521900 in words is "seventy-six million, five hundred twenty-one thousand, nine hundred".