77690624 has 72 divisors (see below), whose sum is σ = 173069568. Its totient is φ = 34503680.

The previous prime is 77690621. The next prime is 77690647. The reversal of 77690624 is 42609677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77690621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132059 + ... + 132645.

It is an arithmetic number, because the mean of its divisors is an integer number (2403744).

Almost surely, 2^77690624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77690624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86534784).

77690624 is an abundant number, since it is smaller than the sum of its proper divisors (95378944).

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

77690624 is a wasteful number, since it uses less digits than its factorization.

77690624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 77690624 is about 8814.2284971516. The cubic root of 77690624 is about 426.7002230552.

The spelling of 77690624 in words is "seventy-seven million, six hundred ninety thousand, six hundred twenty-four".