76212092250 has 768 divisors, whose sum is σ = 267454586880. Its totient is φ = 15240960000.

The previous prime is 76212092213. The next prime is 76212092273. The reversal of 76212092250 is 5229021267.

It is a happy number.

76212092250 is a `hidden beast` number, since 7 + 621 + 2 + 0 + 9 + 2 + 25 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 361194645 + ... + 361194855.

It is an arithmetic number, because the mean of its divisors is an integer number (348248160).

Almost surely, 2^76212092250 is an apocalyptic number.

76212092250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76212092250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133727293440).

76212092250 is an abundant number, since it is smaller than the sum of its proper divisors (191242494630).

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

76212092250 is a wasteful number, since it uses less digits than its factorization.

76212092250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 76212092250 in words is "seventy-six billion, two hundred twelve million, ninety-two thousand, two hundred fifty".